Lateral surface area calculator triangular prism

Jan 26, 2024 · Triangular Prism Calculator. Enter the values for the base length, height, and length of the triangular prism. Select the desired units for each input (millimeters, centimeters, meters, kilometers, inches, feet, or yards). Click the "Calculate" button to perform the calculations. View the results for the volume, surface area, and lateral ...

Lateral Other name for rectangular prism is cuboid. WebThe surface area of a rectangular prism calculator gives us the answer: A = 2 l w + 2 l h + 2 w h = 2 8 ft 6 ft + 2 8 ft 5 ft + 2 6 ft 5 ft = 236 ft. Once multiply combination of any two parameters.A triangular prism is a three-dimensional body having two triangular bases connected by three rectangular sides. It has five faces (three rectangles and two triangles), six vertices and nine edges. The triangular prism is said to be uniform if the triangles at the base are equilateral, and the sides are squares.For example, let the legs of a right triangle that is base of a triangular prism are 3 and 4 units and height of the prism is 10 units. From the net, we can see that there are two congruent triangle faces and three rectangular faces whose areas are as follows. 6 square units and (3 + 4 + 5)10 = 120 square units.Formula to find the surface area of a triangular prism is given by: where, b = Triangle base length. h = Triangle height. H = Prism height. S1 = Side 1 of the triangle. S2 = Side 2 of the triangle. S3 = Side 3 of the triangle. In the below online surface area of a triangular prism calculator, enter the above mentioned parameters in the input ...This Triangular Prism Surface Area Calculator is a specialized tool designed to compute the surface area of a triangular prism quickly and accurately. Ideal for students, educators, and professionals in fields like geometry, architecture, and engineering, it simplifies complex calculations and provides precise results.

The formula for calculating the surface area of a triangular prism is; Surface area= (perimeters of the base*length of the prism) + (2 * base area) = (S1+S2+S3)L+ bh. Where, L depicts the length of the prism. S1, S2, and S3 demonstrates the three edges or sides of the base triangle.Since a triangular prism has two triangles, the area of both triangles equals. 2 * 14.6969384567 = 29.3938769134. Now to calculate the area of the 3 rectangular faces: Rectangular face area = 9 * (5 + 6 + 7) Rectangular face area = 162. For the total prism area we add up both areas: Total Area = 29.3938769134 + 162. Total Area = …Example 6: surface area of a triangular prism (7th grade question) Calculate the surface area of the triangular prism. Calculate the area of each face. Show step. Add the area of each face together. Show step. \text {Total surface area: } 24 + 24 + 24 + 32 + 40 = 144 Total surface area: 24 + 24 + 24 + 32 + 40 = 144.In this tutorial, you'll see how to use the dimensions of a rectangular prism to find the lateral area. Take a look! Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take ...One of the most important decisions when designing an outdoor entertainment area is the type of surface you plan to use. Expert Advice On Improving Your Home Videos Latest View All...The figure presents a surface net of a rectangular prism. The net consists of 4 rectangles in a row, where the second rectangle from the left is also connected to a rectangle above it and a rectangle below it. The bottom of the left most rectangle is labeled as 3 units. The bottom of the second rectangle from the left is labeled as 2 units.2 Add the five areas together. 24+24+24+32+40=144 24 +24 +24 +32 +40 = 144. 3 Include the units. The measurements on the triangular prism are in mm therefore the total surface area of the triangular prism = 144mm^2 = 144mm2.About. Transcript. Here are the steps to compute the surface area of a triangular prism: 1. Find the areas of each of the three rectangular faces, using the formula for the area of a rectangle: length x width. 2. Next, find the area of the two triangular faces, using the formula for the area of a triangle: 1/2 base x height. 3.

The Lateral Surface Area of Triangular Prism formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Triangular Prism and is represented as LSA = (S a +S b +S c)*h or Lateral Surface Area of Triangular Prism = (Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism ... The surface area of an equilateral triangular prism = Area of the top and base triangles + Area of the three rectangular faces. Putting the values together, The surface area of an equilateral triangular prism = 2 × 60 + 3 × 20. = 180. Answer: The surface area of the equilateral triangular prism is 180 squared units. Volume is the amount of space that an object or substance occupies. Generally, the volume of a container is understood as its capacity — not the amount of space the container itself displaces. Cubic meter (m 3) is an SI unit for volume.. However, the term volume may also refer to many other things, such as. the degree of loudness or …The surface area of a closed cylinder can be calculated by summing the total areas of its base and lateral surface: base SA 2r 2. Surface area is measured in units squared (e.g. You should always include units in your answer. Step-by-step guide: Surface area of a triangular prism Since it is an area, surface area is measured in square units (e.g.

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A square pyramid is a three-dimensional geometric figure that has a square base and four triangular sides that meet at a point. In simpler terms, it is a pyramid with a square base. ... Lateral Surface Area (L) = a √(a 2 + 4h 2) Surface Area of Base (B) = a 2. ... Volume of an Irregular Prism Calculator; Volume of a Pyramid Calculator; Volume ...For example, a triangular prism is defined by two triangular faces, which are connected by three parallelograms. ... This lesson explained what the lateral surface area is and how to calculate it.∴ Triangular Prism top, bottom surface areas are 96 m², lateral surface area is 1392 m², total surface area is 1,584 m², volume is 2,784 m³. If you are looking for help while learning several geometry concepts then have a look at Areavolumecalculator.com for your queries and doubts all in one place .Lateral Surface Area = 12(8) = 96 inches2 = 12 ( 8) = 96 inches 2. The general formula for the total surface area of a right prism is T.S.A.= ph+2B T. S. A. = p h + 2 B where p p represents the perimeter of the base, h h the height of the prism and B B the area of the base. There is no easy way to calculate the surface area of an oblique prism ...

Triangular Prism Surface Area Calculator. You can calculate the lateral surface area and the total surface area of the triangular prism by inputting the required value for the calculation. The variables in the calculator include. First Edge Length (S1) Length of the 1st side of the Triangular Base.The surface area of a rectangular prism is the entire space occupied by its outer layer (or faces). It is expressed in square units such as m 2, cm 2, mm 2, and in 2. Formulas. Like all 3-dimensional shapes, we can calculate 2 types of surface areas in a rectangular prism. Lateral Surface AreaStep 1: Create a net for the triangular prism by "cutting" two edges of the triangular faces and unfolding. Step 2: Find the area of each triangle. Find the area of the rectangle. Step 3: Add all ...Lateral Surface Area = 12(8) = 96 inches2 = 12 ( 8) = 96 inches 2. The general formula for the total surface area of a right prism is T.S.A.= ph+2B T. S. A. = p h + 2 B where p p represents the perimeter of the base, h h the height of the prism and B B the area of the base. There is no easy way to calculate the surface area of an oblique prism ...The Height of Triangular Prism given Lateral Surface Area formula is defined as the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism, and calculated using the lateral surface area of Triangular Prism and is represented as h = LSA/(S a +S b +S c) or Height of Triangular Prism = Lateral …Muh. 8, 1440 AH ... Find the lateral area of the given prism to the nearest square centimeter. Lateral area is the surface area of the sides excluding the top ...Rab. I 10, 1443 AH ... Analyze triangular prisms to find surface area - Part 2 In this lesson you will learn how to develop a plan for finding triangular prism ...Volume of a triangular prism formula. The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: So, you need to know just three measures: height, base, and length, in order to calculate the volume.This is level 3; Find the surface area of a variety of prisms. The diagrams are not to scale except the diagram in the last question. 1. Find the surface area of this triangular prism. Length: 5cm, Base: 12cm, Height: 8cm, Sloping edges: 10cm. ☐ cm2 ☐. 2. A pentagonal prism has a length of 8cm. The area of its pentagonal faces is 43cm 2 and ...Our surface area of a triangular prism calculator offered it 4 different ways up get all the queries connecting to to surface area of a prism! Anreise ahead and give it a try; our sample pictures and detailed getting make it view easy than it's everly been! 🔺. Follow our short article to: Discover different prism triangular faces;You'll see how to apply each formula to the given information to find the lateral area and surface area. Take a look! Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take ...

Example of Area of Trapezoidal Prism Calculator. Let's consider a practical example. Suppose we have a trapezoidal prism with a shorter base (a) of 5 meters, a longer base (b) of 8 meters, heights (h1 and h2) of 3 meters each, and a lateral side length (c) of 4 meters. Plugging these values into the calculator, we get:

The lateral surface area of the triangular prism is 128 square centimeters.The correct answer would be an option (G) 128 cm². What is the triangular prism? A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides.. As per the question, we have dimension are:. side legth of base = 6 cm, 5 cm, and 5 cmAug 3, 2023 · The surface area of a triangular prism is the entire space occupied by its outermost layers (or faces). It is expressed in square units such as m 2, cm 2, mm 2, and in 2. Formulas. Like all 3-dimensional shapes, 2 types of surface areas can be calculated for a triangular prism. Lateral Surface Area Use the simple geometry calculator to calculate the surface area of a right prism online. Geometry Prisms - Definitions. A Prism is a polyhedron with two congruent polygonal faces that lie in parallel planes.; The Bases are the parallel polygonal faces.; The Lateral Faces are the faces that are not bases.; The Lateral Edges are the edges between the lateral faces.Hexagonal Prism. The formula for determining the surface area of a triangular prism is defined as: w h e r e. s = a + b + c 2. S A: the surface area of the prism. a: the length of side a of the triangular base. b: the length of side b of the triangular base. c: the length of side c of the triangular base. d: the depth of the prism.A triangular prism is a geometric solid shape with a triangle as its base. It's a three-sided prism where the base and top are equal triangles and the remaining 3 sides are rectangles. This calculator finds the volume, surface area and height of a triangular prism. Surface area calculations include top, bottom, lateral sides and total surface area.Base area of the given triangular prism = 1/2 × Base length × Height of the base triangle = 1/2 × 60 × 40 = 120 square units. Answer: Base area of the given triangular prism = 120 square units. Example 2: Find the base area of the triangular prism whose base triangle has the length of the sides a = 3 units, b = 4 units, and c = 5 units ...In an oblique prism, the lateral faces are parallelogram-shaped and may or may not be congruent every time based on the different shapes of the prisms. Since there is no direct formula to calculate the surface area of an oblique prism, it is not in common practice. ... Find the volume of an oblique triangular prism whose base area is ...The total of all the lateral faces of a rectangular prism, i.e. the total area excluding the bases, can be used to compute the lateral surface area. The formula for calculating a rectangular prism's surface area is as follows. Formula. We can calculate rectangular prism's lateral surface area (LSA) using this equation:Now, we can calculate the lateral surface area of the prism: Lateral surface area = perimeter * height Lateral surface area = 57.45 ft * 9 ft = 517.05 ft² 3. Total surface area: The total surface area of the prism is the sum of the area of the two triangular ends and the lateral surface area: Total surface area = 180 ft² (triangular ends ...

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S = L × (a + b + c) + 2 × base area. or, S = L × (a + b + c) + b × h. Example 1: Find the surface area of the prism as shown in this diagram. Solution: First imagine the prism is opened as shown in the image. Then we calculate the areas of the bases and the lateral surfaces separately.Surface Area of a Triangular Prism. s = 1/2(a + b + c) Base SA = s (s – a) (s – b) (s – c)) Lateral SA = h × (a + b + c) You can also use our triangle calculator to find the base surface area using several different methods. This tool is helpful when all sides are not known.Surface area worksheets comprise an enormous collection of exercises on different solid figures. The large chunk of exercises is categorized based on a step-by-step approach involving counting unit squares to determine the SA, finding the surface area of nets, and then computing the surface area of geometrical shapes like cubes, cones, cylinders, rectangular prisms, L-shaped prisms, spheres ...Shaw. 13, 1441 AH ... Learn how to find the surface area of a square prism. The formula you can use is Lateral Area + 2(Base Area) The lateral area equals ...The surface area of a triangular prism is actually the total sum of the areas of the two bases of the prism (triangles), and the areas of the three lateral sides of the prism (rectangles). To better understand, let's look at a simple example.Calculate the top and bottom surface area of a cylinder (2 circles ): T = B = π r 2. Total surface area of a closed cylinder is: A = L + T + B = 2 π rh + 2 ( π r 2) = 2 π r (h+r) ** The area calculated is only the lateral surface of the outer cylinder wall. To calculate the total surface area you will need to also calculate the area of the ...2 Multiply the perimeter of the base by the height of the prism to find the lateral surface area (LSA): L S A = p e r i m e t e r × h e i g h t = 23 m e t e r s × 16.5 m e t e r s = 370.5 s q u a r e m e t e r s LSA = perimeter × height = 23 meters × 16.5 meters = 370.5 square meters L S A = p er im e t er × h e i g h t = 23 m e t ers × ...Surface Area of a Triangular Prism. Fields marked with a star (*) are required. Edge a *. Edge b *. Edge c *. Height h. Surface area. For help with using this calculator, see the object surface area help page. ….

Example Calculation of Lateral Surface Area: Consider a rectangular prism with a length of 5 cm, width of 3 cm, and height of 10 cm. The perimeter of the base (which is a rectangle) is calculated as follows: Thus, the Lateral Surface Area is: Total Surface Area of Prisms: The total surface area (TSA) of a prism is the sum of its lateral surface ...Dec 17, 2023 · Follow these simple steps to find the side area of a prism: Input Perimeter and Height: Put in the length around the base ( P) and the height of the prism (. ℎ. h ). Use the Formula: Plug these values into the formula. Lateral Area = P × ℎ. to calculate the side area. The Height of Triangular Prism given Lateral Surface Area formula is defined as the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism, and calculated using the lateral surface area of Triangular Prism and is represented as h = LSA/(S a +S b +S c) or Height of Triangular Prism = Lateral Surface Area of Triangular Prism/(Side A of Base ...Surface area of a triangular prism. The surface area of a triangular prism is the sum of the areas of its 3 lateral faces and 2 bases and is given by the formula, where SA is surface area, a, b and c are the lengths of the sides of the bases, b is the bottom side of the base, and h is the height of the base. Types of triangular prismsA isosceles triangular prism has a height of #15 cm#, the perimeter of the base is #32 cm# and the base of the triangle is #6/5# the side. Calculate the surface area of the prism?To find the area of just the slanted sides - the lateral surface area ( LSA) - you need to do a lot less work: LSA=\frac {1} {2} (Perimeter\times Slant Height) LS A = 21(P erimeter × SlantHeight) Lateral surface area formula for a triangular pyramid. These formulas only work for regular pyramids.The lateral area of a right triangular prism is the number of unit squares that can fit into it. A right triangular prism is a polyhedron with polygons as its faces. It has 6 vertices, 5 faces, and 9 edges. Out of the 5 faces, triangles form the top and the base and rectangles form the lateral/vertical faces. The lateral area of a right triangular prism is also known as the lateral surface ...Volume of a triangular prism formula. The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: So, you need to know just three measures: height, base, and length, in order to calculate the volume. Lateral surface area calculator triangular prism, Example 1: surface area of a triangular prism with a right triangle. Calculate the surface area of the triangular prism. Calculate the area of each face. The area of the front of the prism is \cfrac{1}{2} \, \times 4 \times 3= 6 \mathrm{~cm}^{2}. The back face is the same as the front face so the area of the back face is also 6 \mathrm{~cm}^{2}., Example 6: surface area of a triangular prism (7th grade question) Calculate the surface area of the triangular prism. Calculate the area of each face. Show step. Add the area of each face together. Show step. \text {Total surface area: } 24 + 24 + 24 + 32 + 40 = 144 Total surface area: 24 + 24 + 24 + 32 + 40 = 144., The surface area of triangular pyramid calculator handles all pyramid related calculations like a pro. It doesn't matter if you want to find the surface area, volume, base area, base width, or base length. ... Lateral area of rectangular pyramid: A L = l√((w/2) 2 + h 2)+ w √((l/2) 2 + h 2), The lateral area of a right triangular prism is the number of unit squares that can fit into it. A right triangular prism is a polyhedron with polygons as its faces. It has 6 vertices, 5 faces, and 9 edges. Out of the 5 faces, triangles form the top and the base and rectangles form the lateral/vertical faces. The lateral area of a right triangular prism is also known as the lateral surface ..., Triangular Prism Surface Area Calculator. You can calculate the lateral surface area and the total surface area of the triangular prism by inputting the required value for the calculation. The variables in the calculator include. First Edge Length (S1) Length of the 1st side of the Triangular Base. , The lateral surface area of the triangular prism shown below is C.170 cm².. How can the lateral surface area of the triangular prismbe calculated? The concept that will be used here is triangular prism breakdown and calculation.. We can break down the triangular prism so as to make it simpler as :. We have (2 triangles) as well as ( 2 side rectangles) and (1 back rectangle), In an oblique prism, the lateral faces are parallelogram-shaped and may or may not be congruent every time based on the different shapes of the prisms. Since there is no direct formula to calculate the surface area of an oblique prism, it is not in common practice. ... Find the volume of an oblique triangular prism whose base area is ..., 1. Calculate the length of the curve y=ln (secx+tanx) from x=π/4 to x=π/3. 2. Calculate the lateral surface area of the surface generated by rotating y=x3 about the x-axis from x=1 to x=2. - 3. A dam takes the shape of a right triangular prism (so cross sections are right triangles). For the cross-sections, one side is vertical with a height ..., 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. Calculate the unknown defining side lengths, circumferences, volumes or radii of a various geometric shapes with any 2 known variables. Online calculators and formulas for a surface area and other geometry problems., Because a net shows all the faces of a polyhedron, we can use it to find its surface area. For instance, the net of a rectangular prism shows three pairs of rectangles: 4 units by 2 units, 3 units by 2 units, and 4 units by 3 units. Figure \(\PageIndex{9}\) The surface area of the rectangular prism is 52 square units because \(8+8+6+6+12+12=52\)., Example 1: how to find the surface area of a right triangular prism. Calculate the surface area of the triangular prism. Calculate the area of each face. The area of the triangle at the front is \cfrac {1} {2} \times 12 \times 5=30 \mathrm {~cm}^2 21 × 12 × 5 = 30 cm2. The back face is the same as the front face so the area of the back is ..., Lateral Other name for rectangular prism is cuboid. WebThe surface area of a rectangular prism calculator gives us the answer: A = 2 l w + 2 l h + 2 w h = 2 8 ft 6 ft + 2 8 ft 5 ft + 2 6 ft 5 ft = 236 ft. Once multiply combination of any two parameters., Calculate the surface area of right prisms and cylinders. ... which are connected by the height of its lateral sides, as shown in Figure 10.164. The lateral sides form a right angle with the base and the top. There are rectangular prisms, hexagonal prisms, octagonal prisms, triangular prisms, and so on. ... Find the surface area of the ..., Lateral & Surface area prisms quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... What is the total surface area of the triangular prism shown? 468 in 2. 540 in 2. 576 in 2. 700 in 2. 12. Multiple Choice. Edit. 3 minutes. 1 pt. Find the surface area of the rectangular prism. 140 in. 2. 83 in. 2. 166 ..., Since a triangular prism has two triangles, the area of both triangles equals. 2 * 14.6969384567 = 29.3938769134. Now to calculate the area of the 3 rectangular faces: Rectangular face area = 9 * (5 + 6 + 7) Rectangular face area = 162. For the total prism area we add up both areas: Total Area = 29.3938769134 + 162. Total Area = …, In this lesson plan, students will learn about lateral surface area, total surface area of triangular prisms and its real-life applications. Through artistic, interactive guided notes, check for understanding, a doodle & color by number activity, and a maze worksheet, students will gain a comprehensive understanding of calculating surface area., Is the undercover program called PRISM actually a fairly transparent tool for gathering information or a mandate for snooping through your e-mail? Advertisement If you need a layma..., Example 1: surface area of a triangular prism with a right triangle. Calculate the surface area of the triangular prism. Calculate the area of each face. The area of the front of the prism is \cfrac{1}{2} \, \times 4 \times 3= 6 \mathrm{~cm}^{2}. The back face is the same as the front face so the area of the back face is also 6 \mathrm{~cm}^{2}., Formula to find the surface area of a triangular prism is given by: where, b = Triangle base length. h = Triangle height. H = Prism height. S1 = Side 1 of the triangle. S2 = Side 2 of the triangle. S3 = Side 3 of the triangle. In the below online surface area of a triangular prism calculator, enter the above mentioned parameters in the input ..., The lateral surface area of a right triangular prism. To calculate the lateral surface area of any shape or object, you must find the area of the non-base faces only. This means that, in a right triangular prism, the lateral surface area is the area of the vertical faces. The lateral surface area can be found by multiplying the perimeter of the ..., Surface area word problem example. Google Classroom. About. Transcript. Akira won a science fair and got a golden pyramid trophy. We want to find out how much gold foil was used. The trophy has a square base and four triangular faces. By calculating the area of these shapes, we can find the total surface area covered by the gold foil., Printable PDF, Google Slides & Easel by TPT Versions are included in this distance learning ready activity which consists of 11 prisms (rectangular & triangular) that students must calculate volume, lateral surface area, or total surface area of.Not all boxes are used in the maze to prevent students from just guessing the correct route., Prism Height Formula. To calculate the height of a prism, you can use the following formula: h = \dfrac {V} {S} h = S V. Where: h is the height of the prism. V is the product of the area of the base and the height of the prism. S is the area of one of the congruent polygonal bases., Online geometry calculator to calculate surface area of an oblique prism. The lateral surface area of an oblique prism is the sum of the areas of the faces, which must be calculated individually. Cavalieri's Principle. If two solids have the same height and the same cross‐sectional area at every level, then they have the same volume., Dhuʻl-Q. 20, 1436 AH ... How to Find the Surface Area of a Triangular Prism | Math with Mr. · Surface area of a box using nets · Drawing Nets and using Nets to Calcul..., Solution: Volume of Triangular Prism = ½ × b × h × l. V = ½ × 5 × 10 × 15. Volume, V = 375 cm 3. Example 2: If the height of the prism is 4cm and the length of the side of the equilateral triangular base is 6cm. Then find the area of the prism for the above example. , Example 2: surface area of a cube. Work out the surface area of the cube: Calculate the area of each face. Show step. Since it is a cube, all of the faces are the squares and of equal size. Area of a square formula: \text { (side length)}^2 (side length)2. So, the area of each face =9 \times 9=81cm^2 = 9 × 9 = 81cm2., Example 2: Find the Surface Area of the Isosceles Triangular Prism Above. First, plug the known values into the equation. SA = bh + (s1 + s2 + s3)H. SA = 4 (6) + (4 + 7 + 7) (12) Next, calculate the perimeter of the triangles (add together the three sides), followed by their area (base times height)., Study with Quizlet and memorize flashcards containing terms like total surface area of a triangular prism, B, Lateral Surface Area of Triangular Prisms and more., The surface area of a rectangular prism calculator gives us the answer: A = 2 × l × w + 2 × l × h + 2 × w × h = 2 × 8 ft × 6 ft + 2 × 8 ft × 5 ft + 2 × 6 ft × 5 ft = 236 ft². But that is the surface area of the entire prism, and we don't want to tile it all around. After all, if we tile the top, it would be pretty difficult to get ..., You'll see how to apply each formula to the given information to find the lateral area and surface area. Take a look! Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take ..., Advertisement When you look at an object high in the sky (near Zenith), the eyepiece is facing down toward the ground. If you looked through the eyepiece directly, your neck would ..., Step 1: The base triangle is an equilateral triangle with its side as a = 6. So its area is found using the formula, √3a 2 /4 = √3 (6) 2 /4 = 9√3 square inches. Step 2: The length of the prism is 15 in. Step 3: The volume of the given triangular prism = base area × length = 9√3 × 15 = 135√3 cubic inches.