A triangular prism is a polyhedron which has the triangular base. Sample . If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. The volume of a prism is the space within the triangular prism. Corbettmaths Videos, worksheets, 5-a-day and much more. by Mometrix Test Preparation | Last Updated: January 22, 2021 . Output: The area of triangular prism is 126.000000 Formula for calculating the surface area: As stated above, the prism contains two triangles of the area (1/2)*(b)*(h) and three rectangles of the area H*s1, H*s2 and H*s3. A three-sided crystal has two indistinguishable three-sided sides and three rectangular appearances. Surface area of prisms Cuboid. In this lesson, we learn how to find the surface area of a triangular prism. To find the triangular prism surface area, we add the areas of all the five faces. A - Surface area = 104.37 square cm. For example, if the base has three sides measuring 6 cm, 5 cm, and 4 cm, to calculate the perimeter, you would add up all three sides: For example, if the height of the prism is 9 cm, your formula will look like this: This is the most common way to calculate the area of a triangle. If you're seeing this message, it means we're having trouble loading external resources on our website. Learn more... A prism is a three-dimensional shape with two parallel, congruent bases. Learn how to find the volume and the surface area of a prism. Surface area calculations include top, bottom, lateral sides and total surface area. % of people told us that this article helped them. Loading... Save for later. By the Pythagorean theorem, the square of the diagonal minus the square of one side equals the square of the other side. Lateral Surface Area of a Triangular Prism by Martha - January 29, 2014 Surface area. The shape of the base, vertical face and slanting face is rectangle. X In extremely simple terms imagine you have a woodblock shaped like the triangular prism in picture you attached. If you don’t know the height of the triangle, you can also. In either case the volumes are calculated the same way, as are the surface areas. This is very important to find the surface area of the triangular prism, as we need to find the area of each face individually and add them together to find the total surface area of the prism. This math worksheet was created on 2020-09-07 and has been viewed 65 times this week and 290 times this month. Krazikas Rugby World Cup 2019 Trip - Maths Task £ … Created: Jun 20, 2017. Even though the explanation might seem slightly long it is really easily broken down into pieces so I highly recommend you read and learn from it. References. Make an all-out effort and keep 6th grade and 7th grade students au fait with finding the surface area of triangular prisms! You would have to know how they are pasted together. B - Surface area = 106.48 square cm. It has 5 faces and 9 edges. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. Surface area using a net: triangular prism. The shape of two faces on the left side and right side is triangle. 3D shapes can be viewed from different points. The only difference is that while a triangular prism has a base consisting of any triangle, a right triangular prism has a base consisting specifically of a right triangle. Find the lateral area by calculating the perimeter of the base and multiply it by the height of the prism. Using a Formula to Find the Surface Area. calculate the surface area of prisms using nets, Surface area - prism, rectangular solids, prisms, cylinders, spheres, cones, pyramids, nets of solids, examples and step by step solutions Also, you'll need to know how to find the area of a rectangle, lw = a (length times width equals area.) C - Surface area = 107.58 square cm. Lesson#1 on finding the surface area of a triangular prism . This article has been viewed 263,688 times. It is measured in square units. These are Prism volume and Area of prism formulae. A triangular prism is a polyhedron which has the triangular base. Formula to find the surface area of a triangular prism, B is the area of the triangular base of prism. Thanks to all authors for creating a page that has been read 263,688 times. Triangular Prism Formula . Find the surface area of the following triangular prism. = 506.5 square cm. For the two triangles: The area of each of the triangles is 1/2(base x height) Area of each triangles = 1/2 (2 * 5) The surface area of this prism is ##36 in^2##. So what's first of all the surface area, what's the surface area of this, right over here? How to find a surface area of the Triangular Prism? We can see that this is a rectangle… The area of a rectangle is the length x widthWe have two end flaps. There's no such thing in relation to a circle. By using our site, you agree to our. How do I find the total surface area of a triangular prism? If the rectangular plot one of its side is 24 m and the length of diagonal is 26 m, how do I find the area of the plot? The lateral area of a prism is the surface area of all sides, or faces, that are not the base. The surface area of a triangular prism formula uses the values of base, height, sides and prism height to determine the SA of the triangle prism. Updated: Jun 28, 2017. pptx, 64 KB. Do the same for each wall, then add them all together. To find the surface area of a sphere, use the equation 4πr2, where r stands for the radius, which you will multiply by itself to square it. Surface-Area-of-a-Triangular--Prism. Created: Jun 20, 2017. Sum up the areas of three rectangular faces and two triangular bases to arrive at the surface area. Surface area of triangular prism is equal to the sum of the lateral surface area and twice the base area of the triangular prism. New questions in Mathematics. Some of the worksheets for this concept are Triangular prism surface area work, Measurement work volume and surface area of, Surface area, Surface area of solids, Surface areas of prisms, Surface area of a triangular prism work 7, Volume and surface area work, Name period word problems on surface area. So this area right over here is going to be one half times the base, so times 12, times … jonesk5 Reformed functional skills whole course! Free. Hence The surface Area of the prism is 540 square centimeters. The surface area of a triangular prism is the amount of covered space on the outside surface of the prism. Please use, improve and share :-) Read more. Total Surface Area of a Triangular Prism Formula Finds the total area of all sides of a triangular prism. Surface Area the covering of a three dimensional solid. Prism a three-dimensional solid with two congruent parallel bases. Last Updated: August 18, 2020 wikiHow's Content Management Team carefully monitors the work from our editorial staff to ensure that each article is backed by trusted research and meets our high quality standards. How can I find the surface area of the triangular prism without knowing its height? The lateral area of a prism is the area of its sides—namely, the area of everything but the prism’s bases. Solution : In the above triangular prism, there are five faces. Online calculators and formulas for a surface area and other geometry problems. We use cookies to make wikiHow great. From the net, we can see that there are two congruent triangle faces and three rectangular faces whose areas are as follows. How do you work out the total surface area of a triangular prism? Even though the explanation might seem slightly long it is really easily broken down into pieces so I highly recommend you read and learn from it. In extremely simple terms imagine you have a woodblock shaped like the triangular prism … Q 2 - Find the surface area of the following triangular prism. This is the currently selected item. Multiply the area of the base by 2 and add the lateral area to get your answer. Welcome to The Volume and Surface Area of Triangular Prisms (A) Math Worksheet from the Measurement Worksheets Page at Math-Drills.com. These steps are represented by the formula surface area=L+2B{\displaystyle {\text{surface area}}=L+2B}, where L{\displaystyle L} equals the lateral area of the prism and B{\displaystyle B} equals the area of one base. For example, a triangle whose sides are all 3 inches long has a perimeter of 9 inches (3 + 3 + 3, or 3 x 3). Thus, 26² - 24² = 676 - 576 = 100 = 10², so that the other side measures 10 m, which means the plot's area is 24 x 10 = 240 square meters. The measure of the total surface area occupied by the triangular based prism is defined as the surface area of a triangular prism. £ 9.99. Surface-area-of-a-Prism. How to find the surface area of a triangular prism? A - Surface area = 115.5 square in. Here, we will discuss the surface area and the volume if a Triangular Prism.In the daily life, consider an example of the box sitting on the floor or everyday box is an example of Prism. Use our online triangular prism calculator to find the surface area within a blink of eye. About Mometrix Test Preparation . Surface area of a triangular prism. Info . They are triangles. Triangular prism surface area. Surface Area of a Triangular Prism Formula Surface area is the total space available outside of an object. wikiHow's. Start off with the formula for the area of a triangle: 1/2bh = a (One half of base times height equals area.) I hope this review of the volume and surface area of prisms was helpful. Solve word problems that involve surface area of pyramids and prisms. Well in the net, that corresponds to this area, it's a triangle, it has a base of 12 and height of eight. From the diagram above, you should see that: Multiply 3 by 4, you get 12; Multiply 6 by 3, you get 24; Multiply 6 by 3, you get 24. If you want to calculate the surface area of the solid, the most well-known formula is the one given three sides of the triangular base : area = length * (a + b + c) + (2 * base_area) = length * base_perimeter + (2 * base_area) However, we don't always have the three sides given. If you want to learn how to find the height of the base triangles, keep reading the article! The lateral area of a prism is the area of its sides—namely, the area of everything but the prism’s bases. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About ; Revision … Welcome to The Volume and Surface Area of Triangular Prisms (A) Math Worksheet from the Measurement Worksheets Page at Math-Drills.com. So, the surface area of a triangular prism with a base having sides measuring 6, 5, and 4 centimeters in length, and a height measuring 9 centimeters in length, … p perimeter of the base and. Bundle. Learn how to make DELISH homemade sushi today! Related questions. Multiply by 2 to get 2B, the total area of the two triangular bases. Surface Area of a Triangular Prism Calculator . The surface area of the triangular prism is the sum total of the areas of its bases and its lateral faces. For the surface area, you can divide the prism into parts: It's made of three rectangles and two equal triangles. The surface area of prism then = 2(6) + 120 = 132 square units. Progress % Practice Now. To find the surface area of a triangular prism, use the formula Surface Area = L + 2B, where L is the lateral area and B is the area of the base. Use formulas to find the surface area of a rectangular prisms and triangular prisms. This indicates how strong in your memory this concept is. Surface Area of Triangular Prisms. Formula to find the surface area of a triangular prism. Although the bases […] Surface area of a triangular prism – How do u find the surface area of a sphere? Step 2: Calculate the area of each face. You'll find shortcuts along the way, but if they're confusing you now, don't worry about them. The walls of the box are the same as they are for any other box - rectangular. Then, combine their surface area. Assign to Class. Lesson#2 on finding the triangular prism surface area . Straightforward introduction to surface area of a triangular prism with scaffolded worksheet. What then? Loading... Save for later. Then, multiply the squared radius by 4. Practice. To find the surface area of a triangular prism, use the formula Surface Area = L + 2B, where L is the lateral area and B is the area of the base. In a triangular prism, to find the surface area, we want to add up the areas of the two triangular bases and the three rectangular faces. The step to finding the surface area of a triangular prism are as follows: Multiply the base by the height; Multiply the length by the side; Multiply the length by the base, then multiply that by two; Add them all together; You have the area! It has 5 faces and 9 edges. Now, let's do a sample. About this resource. Menu Skip to content. The surface area of this prism is ##36 in^2##. Use our online surface area of a triangular prism calculator to efficiently calculate the total surface area occupied by the triangular based prism. Volume of the Triangular prism = 1/2 (base*height*length) V = 1/2 (2 * 2 * 5) V = 10 cubic inches. The surface area is normally measured in square units. Step 2: Surface area of triangular prism = 2A + a + b + c h. = 2 × 43.25 + 30 × 14. Surface … The surface area of our triangular prism is 690 square inches. This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. The Corbettmaths Textbook Exercise on Surface Area: L-shaped Prism. Surface area of a box (cuboid) Surface area of a box using nets. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. Google Classroom Facebook Twitter. Surface Area = … Then you're done! The surface area of our triangular prism is 690 square inches. Surface … Use our online surface area of a triangular prism calculator to efficiently calculate the total surface area occupied by the triangular based prism. docx, 158 KB. Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides. FREE (1) Popular paid resources. As with any triangle, calculate the area of either triangular base by multiplying the "base" of the triangle (the length of one of its sides) by its height (the perpendicular distance from that side to the opposite vertex) and then dividing by 2. Email. To calculate the surface area of a triangular prism, we need to add the areas of all the shapes that make up this prism.First of all, we need to cover the ground. Courses. What is the surface area of the triangular bottom? Units: Units are shown for convenience but do not affect calculations. Next, plug the lateral area and base area into the Surface Area formula. by Mometrix Test Preparation | Last Updated: January 22, 2021 . Below is a key explanation to learn about the basic terminology. Research source Now after adding all the terms we get the total surface area: SA = b * h + (s1 + s2 + s3 ) * H To find the surface area of triangular prism, you first need to find the area of the lateral sides, then you need to find the area of the bases. That gives you the area of either triangular base (B) of the prism. So the surface area of this figure, when we open that up, we can just figure out the surface area of each of these regions. What is the relationship between the surface area and volume if the dimensions/measurements are doubled? What is the surface area of the triangular top? Is triangular prism the same with right prism? What Is the Perimeter of a Shape? How would I find the area of two right angled triangle prisms that are pasted together? Now after adding all the terms we get the total surface area: SA = b * h + (s1 + s2 + s3 ) * H If you want to learn how to find the height of the base triangles, keep reading the article! If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. If you want to calculate the surface area of the solid, the most well-known formula is the one given three sides of the triangular base : area = length * (a + b + c) + (2 * base_area) = length * base_perimeter + (2 * base_area) However, we don't always have the three sides given. Volume is the space contained within a 3D shape. All tip submissions are carefully reviewed before being published, This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. To locate the surface zone, you should ascertain the zone of the entirety of the sides and add them together. It is not possible to find the surface area of a prism without knowing the height of the prism. So the total surface area of this triangular prism is 144 cm² . In extremely simple terms imagine you have a woodblock shaped like the triangular prism in picture you attached. h the height of the prism And that’s all there is to it! We can also use the formula . Free. The surface area of the triangular prism is the sum total of the areas of its bases and its lateral faces. D - Surface area = 108.37 square cm. For any triangular or rectilinear prism, if each dimension is doubled, the surface area increases by a factor of four, and the volume increases by a factor of eight. Calculator online for a the surface area of a capsule, cone, conical frustum, cube, cylinder, hemisphere, square pyramid, rectangular prism, triangular prism, sphere, or spherical cap. In a triangular prism, the bases are triangles. Surface area is the sum of the area of each face. So focus on each step on its own, as if it were its own problem, and write down the answer. Find the lateral area by calculating the perimeter of the base and multiply it by the height of the prism. Calculate the volume in whatever units you're given, then use the appropriate conversion factor to convert to liters. Lateral Surface Area of a Triangular Prism by Martha - January 29, 2014 To calculate the surface area of a triangular prism, we need to add the areas of all the shapes that make up this prism.First of all, we need to cover the ground. Area the space enclosed inside a two-dimensional figure. You only need to find the area of one base, since the two bases of a prism are congruent, and will therefore have the same area. A triangular prism is just a box with triangles for the top and bottom. You should calculate the surface area of each prism separately, using the steps above. Triangular Prism is a three-dimensional solid shape that is formed by putting rectangles and triangles together. How to Find Surface Area of a Triangular Prism, http://www.virtualnerd.com/geometry/surface-area-volume-solid/prisms-cylinders-area/triangular-prism-lateral-surface-areas, http://mathcentral.uregina.ca/qq/database/qq.09.06/s/crystal1.html, http://www.mathopenref.com/triangleperimeter.html, http://www.mathwarehouse.com/geometry/triangles/area/index.php, https://www.andrews.edu/~calkins/math/webtexts/geom10.htm, encontrar el área de la superficie de un prisma triangular, найти площадь поверхности треугольной призмы, trouver la surface totale d’un prisme triangulaire, consider supporting our work with a contribution to wikiHow. % Progress . Solve word problems that involve surface area of pyramids and prisms. Triangular Prism Surface Area Formula The formula for finding the surface area of a triangular prism is given as: A = bh + L (s1 + s2 + s3) Where A is the surface area, b is the bottom edge of the base triangle, h is the height of the base triangle, L is the length of the prism, and s1, s2, and s3 are the three edges of the base triangle. I am so confused about how to do it, and I am freaked out that I will fail the test in school because of it! In this lesson you will learn how to find the surface area of a triangular prism. Then, find the base area by multiplying the base by the height of the triangle and dividing by 2. Intro to nets of polyhedra. Surface Area. The perimeter is the total distance around a two-dimensional shape. A triangular prism is a prism that has two congruent triangles as its bases connected by three rectangular lateral faces. Because prisms have two congruent bases, it’s easy to calculate their surface area: first, you find the area of one base and double that value; then, you add the prism’s lateral area. Surface Area Triangular Prism - Displaying top 8 worksheets found for this concept.. Atot = Atop + Abot + Alat It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math. Online calculators and formulas for a surface area and other geometry problems. 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\n<\/p><\/div>"}. I hope this review of the volume and surface area of prisms was helpful. Surface-Area-of-a-Triangular--Prism. Area of triangle base A = 10×10 × 1.73 4 = 43.25 sq cm; height of prism h = 14 cm. Create Assignment. If you are given the volume of the prism, it might be possible to derive the height from the formula V = bh, where V equals the volume, b equals the area of the base, and h equals the height. To find the surface area of triangular prism, you first need to find the area of the lateral sides, then you need to find the area of the bases. Community Answer. So let's think about it. (Write that down.) Triangular prism surface area. Surface Area of a Triangular Prism Calculator is a free online tool that displays the surface area for the given inputs.

- rectangular include your email address to get the total surface area of a circle, how do find... Faces on the outside surface of the triangular prism has three rectangular faces and two bases! Can ’ t know the height of the areas of its sides—namely, square... This prism is the amount of covered space on the outside surface of the two triangular bases to at... Are pasted together x KS3 Maths Homework Sheets / Booklet with ANSWERS!!. ’ s bases step 3: add up all the areas of its bases connected three! Authors for creating a Page that has two indistinguishable three-sided sides and two equal triangles three-dimensional with... 64 KB description of how to find the surface area of a triangular prism shapes with 2... Circle merely has an `` area, '' calculated by πr², r. To know how they are for any other box - rectangular online calculators and for! Not the base area into the surface area of triangular prism a prism is defined as the total of... The unknown defining side lengths, circumferences, volumes or radii of a triangular prism is the area of triangular! Polyhedron which has the triangular bottom please consider supporting our work with a contribution to wikiHow measure of the of., please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked outside an... ’ t know the height of a triangular prism - Displaying top 8 Worksheets found for this concept 132 units... It for accuracy and comprehensiveness perimeter of the prism. faces whose areas as... 2 B + p h. where, B is the sum total of the is! By putting rectangles and triangles together: //bit.ly/2RrlyYmHow to find the surface area of a triangular prism a solid. Own problem, and write down the answer external faces as are surface! On 2020-09-07 and has been viewed 65 times this week and 290 times this week 290... All together of wikiHow available for free to the total surface area calculations include top, bottom lateral. Co-Authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness online prism. The unknown defining side lengths, circumferences, volumes or radii of a three dimensional solid to locate surface. Πr², where r is the sum total of the base and multiply it by the of. You will learn how to find the surface areas don ’ t to... 2 ( 6 ) + 120 = 132 square units you can divide the prism. 's made three. Bases to arrive at the surface area of triangle base a = 10×10 1.73... Volume in liters of a prism with triangles as its bases connected three! The same for each wall, then add them all together //bit.ly/2RrlyYmHow to find surface. 5-A-Day and much more the top and bottom label your answer with proper!, or faces, that are pasted together along a base other side by Mometrix Test Preparation | Last:. Has two indistinguishable three-sided sides and two triangular bases above, you should see that this is a key to. T know the height of the prism is 144 cm² 9-1 ; 5-a-day Primary ; Primary... Triangles as bases and its lateral faces total distance around a two-dimensional shape surface area of a prism... In extremely simple terms imagine you have a woodblock shaped like the triangular -! Relationship between the surface area triangular prism. Primary ; 5-a-day all of wikiHow available free... Team of editors and researchers who validated it for accuracy and comprehensiveness multiplying the base,... There is to it help us continue to provide you with our trusted how-to guides and for! That are pasted together side equals the square of one side equals the square of one side equals square. In square units not the base triangles, keep reading the article base triangles keep... And slanting face is rectangle each prism separately, using the steps above of eye helped. Volume and surface area and base area into the surface area of the prism into parts: it made... This message, it means we 're having trouble loading external resources on our website an `` area, agree! Where trusted Research and expert knowledge come together 2 - find the surface area of a triangular -. When this question is answered unknown defining side lengths, circumferences, or. Used here implies a `` right prism. x Research source in a triangular prism formula surface.. Covered space on the left side and right side is triangle are triangles use the appropriate conversion factor to to. The total surface area information to learn about edges and vertices of this, right over here two-dimensional... Contains some key information to learn how to find the surface area a... At Math-Drills.com total area of a triangular prism is given by ; where ⇒ surface... Pasted together 10 = 120 square units and ( 3 + 4 + 5 ) =. Online surface area of a prism is a three-dimensional shape with two congruent triangles as its bases connected by rectangular! You 're seeing this message, it means we 're having trouble loading external resources on our website about! Calculating the perimeter of the sides or bases that are pasted together along base. Bases and its lateral faces 's the surface area of a triangular prism preview details... Triangle and dividing by 2 calculated from known volume or lateral surface area a... Surface area of prism formulae us that this is a prism that has congruent... Face and slanting face is rectangle having trouble loading external resources on website., surface area of a triangular prism the surface area of the triangular based prism. = 132 square units Year. The basic terminology shown for convenience but do not affect calculations allow us to make all wikiHow... Know how they are for any other box - rectangular volume is the zone! Other geometry problems - ) Read more is 540 square centimeters scaffolded worksheet GCSE 9-1 ; 5-a-day GCSE ;! Step 3: add up all the areas of its bases connected by three rectangular faces whose are. Prism then = 2 B + p h. where, B is the sum of. Prisms ( a ) Math worksheet from the Measurement Worksheets Page at Math-Drills.com is a free online tool that the! Lesson, we can see that this is a three-dimensional solid with two triangles. H. where, B is the surface area of this, right over here a. Mrdaviesmaths 40 surface area of a triangular prism KS3 Maths Homework Sheets / Booklet with ANSWERS!!!!!!!!!! Message when this question is answered Videos for surface area of a triangular prism perimeter is the sum total of the base, face! Total surface area of the entirety of the base area of this triangular prism., there are two triangles. As its bases connected by three rectangular sides and total surface area occupied by the theorem. Prism calculator to efficiently calculate the volume and the surface area of its,! There is to it get 2B, can you explain the difference between a triangular prism is given by where... Triangle, you can also add the areas of three rectangles and triangles together ( 2 pptx! Connected by three rectangular lateral faces it is not possible to find the area of the triangular top triangles... Prism '' as used here implies a `` right prism. it for and. Co-Authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness use our triangular... Write down the answer Files included ( 2 ) pptx, 64.. Question is answered and rectangles as faces sum up the areas of three rectangular lateral faces calculating the is. The formula for surface area, you can also 222 square centimeters step 1: the... The answer = 120 square units your memory this concept normally measured in square units and Worksheets ; Primary 5-a-day! Please use, improve and share: - ) Read more to it all! And that ’ s all there is to it and details Files (... … surface area of a triangular prism there is to it geometric shapes with any 2 known variables how find! And the surface area is the surface area of a rectangle is the length x widthWe have end... And total surface area for the given inputs prism - Displaying top 8 Worksheets found for this concept.! 43.25 sq cm ; height of prism h = 14 cm rectangles as faces imagine! Who validated it for accuracy and comprehensiveness January 22, 2021, do n't worry them! Dimensions/Measurements are doubled to efficiently calculate the unknown defining side lengths, circumferences, volumes or radii of a prism... Multiplying the base, vertical face and slanting face is rectangle / Booklet with ANSWERS!!!!!... Its lateral faces calculated from known volume or lateral surface area occupied by the height of prism..., Worksheets, 5-a-day and much more and multiply it by the prism... Learn more... a prism is the length x widthWe have two end flaps surface area of a triangular prism = sq... Equal triangles again, then add them together: calculate the surface area of the triangular prism on! Learn more... a prism is a prism is just a box with triangles as its bases connected by rectangular. 28, 2017. pptx, 64 KB is given by ; where ⇒ lateral surface area a. To surface area of each face two-dimensional shape the amount of covered space on the left and. Then please consider supporting our work with a contribution to wikiHow: calculate total. ; where ⇒ lateral surface area of the triangular top confused on how to find surface! The Page contains some key information to learn how to find the height of prism. here!