Formula for right triangular prism surface area

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In Geometry, the triangular prism is defined as a prism which has two congruent triangles where the bases are connected by the three rectangular lateral faces. The surface area of a triangular prism can be calculated by adding the base area and its lateral faces. The formula to calculate the surface area of a triangular prism is SA = 2B + P h ...A triangular prism is a prism that has two congruent triangles as its bases connected by three rectangular lateral faces. The surface area of the triangular prism is the sum total of the areas of its bases and its lateral faces. Formula to find the surface area of a triangular prism. The Surface Area = 2 B + p h. where, B is the area of the ... 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 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.The surface area of the triangular prism is less than the surface area of the ... Use a formula to determine the surface area of right rectangular prisms. Right Triangular Prism: 28 4 4 28 28 28 16.1: ... Find the surface area of the right triangular prism. All lengths shown are in inches. 11.8 17.8The base of a right rectangular prism is 10 ft by 7 ft. The height is 3 ft. Find the surface area. A right prism of height 15 cm has bases that are right triangles with legs 5 cm and 12 cm. Find the total surface area of the prism. Find the surface area of the rectangular prism. Find the lateral and surface area of a right triangular right prism.Proof of Heron's formula (2 of 2) Unit test. Test your understanding of Volume and surface area with these NaN questions. Start test. Volume and surface area help us measure the size of 3D objects. We'll start with the volume and surface area of rectangular prisms. From there, we'll tackle trickier objects, such as cones and spheres.Mar 24, 2014 ... Triangular Prism - Volume, Surface Area, Base and Lateral Area Formula, Basic Geometry. The Organic Chemistry Tutor•525K views · 11:14. Go to ...

The lateral area of the right triangular prism is 360 square inches. Step 3: Find the area of the triangular bases. 1 Area formula for a Triangle ... A = === = The area of one triangle base is 24 square inches. Step 4: Find the surface area (total area of all faces) 2 Formula for Total Surface Area of Right Prisms 2(24) 360 Substitution 408 ...Title. surface-area-tri-prism-formula. Created Date. 9/7/2017 1:07:03 PM.Get your free lessons: https://vividmath.comHow to find the Surface Area of a Triangular Prism. See all Surface Area lessons: https://vividmath.com/geometry/...Example 5. Find the total surface area of a hexagonal prism whose apothem length, base length, and height are given as 7 m, 11 m, and 16 m, respectively. Solution. The total surface area formula for a hexagonal prism is given as: TSA = 6ab + 6bh. Substitute. TSA = 6 x 7 x 11 + 6 x 11 x 16. = 462 + 1056.Surface Area of a Pentagonal Pyramid. The formula to calculate the surface area of a pentagonal pyramid also includes its lateral surface area (LSA). Lateral Surface Area (LSA) = 5 2 b s, here b = base, s = slant height. ∴ Total Surface Area (TSA) = 5 2 a b + L S A. Let us solve some examples to understand the concept better.The surface area of a triangular prism can be calculated by adding the base area and its lateral faces. The formula to calculate the surface area of a triangular prism is. SA = 2B + P h. Where. B is the area of a triangle. P is the perimeter of the base. h is the height of the prism. Learn how to use the surface area of a triangular prism ...

The measure of the total surface area occupied by the triangular based prism is defined as the surface area of a triangular prism. The surface area is normally measured in square units. 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. If you think ...Read formulas, definitions, laws from Surface Area of a Prism and a Pyramid here. Click here to learn the concepts of Surface Area of Right Prisms from Maths. Solve Study Textbooks ... Prism. Surface area = 2 × base area + Lateral surface area. formula. Triangular Prism. Surface area = $$2(lb+bh+lh)44. formula. Trangular Prism. Surface area ...Because this is an oblique triangular prism, you need to find the area of the triangular base. This base has a 1-inch length and a 2-inch height. Remember that the formula for the area of a ...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 ...

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Surface area of a cylinder: A = 2πr² + 2πrh, where r is the radius and h is the height of the cylinder. Surface area of a cone: A = πr² + πr√(r² + h²), where r is the radius and h is the height of the cone. Surface area of a rectangular prism (box): A = 2(ab + bc + ac), where a, b and c are the lengths of three sides of the cuboid.The surface area of an isosceles triangular prism is defined as the total area of all the faces of an isosceles triangular prism. An isosceles triangular prism is a polyhedron with polygons as its faces. It has 6 vertices, 5 faces, and 9 edges. Out of the 5 faces, isosceles triangles form the two parts at the base facing each other and rectangles form the vertical faces.Fill in the blanks to complete the formula for the surface area of a triangular prism. (1 point) The surface area of a triangular prism is S.A.= +(S1+S2+S3) ... Surface Area Unit Test 5 of 155 of 15 Items Question Fill in the blanks to complete the formula for the surface area of a. Surface Area Unit Test 5 of 165 of 16 Items Question Fill in ...The surface area of a right triangular prism formula is: Surface area = (Length × Perimeter) + (2 × Base Area) = ((S)1 + (S)2 + h)L + bh. ... 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 ...

Then, the surface area of the hexagonal prism is. SA = 2(93.6) + 36(20) = 907.2 in2 S A = 2 ( 93.6) + 36 ( 20) = 907.2 in 2. To find the volume of the right hexagonal prism, we multiply the area of the base by the height using the formula V = Bh. V = B h. The base is 93.6 cm2, 93.6 cm 2, and the height is 20 cm cm.PayPal laid off dozens of employees from its San Jose headquarters, filings show. As first reported by The Information and later confirmed by Techcrunch, the layoffs impacted 83 em...A triangular prism has a Surface Area of 48.735 km2. The base of the prism is an equilateral triangle with a height of 3 and an unknown base. The distance between the bases of the prism is 12 km. Find the measure of the base of the triangle.The surface area formula for a sphere is 4 x π x (diameter / 2) 2, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4 x π x radius 2. to find the surface area of a cube with a side of 3 inches is to multiply 3 x 6 = 18 square inches. side 2 is the surface of one of the sides, and since the cube has 6 ...And here's the surface area of a triangular prism formula that we need: Area = (Length × (a + a × (sin( γ) / sin(γ + β)) + a × (sin(β) / sin(γ+β)))) + a × ((a × sin(γ)) / …If you own an apartment complex, you know how hard it can be to keep things looking great. There’s plenty of surface area to cover when it comes to Expert Advice On Improving Your ...The formula to calculate the total and lateral surface area of a triangular prism is given below: Lateral Surface Area (LSA) = (s1 + s2 + s3) × l, here, s1, s2, and s3 are the base edges, l = length. Total Surface Area. The total surface area (TSA) of a triangular prism is the sum of the lateral surface area and twice the base area.The right triangular prism has a height of 2 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information? The volume of the triangular prism is not equal to the volume of the cylinder. Then, the surface area of the hexagonal prism is. SA = 2(93.6) + 36(20) = 907.2 in2 S A = 2 ( 93.6) + 36 ( 20) = 907.2 in 2. To find the volume of the right hexagonal prism, we multiply the area of the base by the height using the formula V = Bh. V = B h. The base is 93.6 cm2, 93.6 cm 2, and the height is 20 cm cm. The formula for the volume of a prism is V = B * h. V is the volume. B is the area of the base shape and h is the height of the prism or the distance between the base shapes. Because B is the area ...

The area of the rectangular faces can be found by multiply the base and height lengths together. The area of the triangular faces can be found by multiplying the base and height and dividing by 2. Learn about Volume, Surface area, how to calculate surface area and volume of triangular prism, formula for volume and related concepts with the help ...

The surface area of a triangular prism is equal to the sum of its lateral surface area and twice the base area. By definition, the surface area of this figure is given as: SA = 2b + Ph. Where, SA = Surface area of the triangular prism. b = Base area of the one end of the triangular prism. P = Perimeter of the base.Example 1: Find the lateral surface area of a regular pentagonal prism if the perimeter of the base = 270 inches and height = 75 inches. Solution: The lateral surface area of pentagonal prism is, L = Ph, where P is the perimeter of the base and h is the height of the prism Here, P = 270 in, h = 75 in ⇒ LSA = Ph = (270)×(75) = 20,250 sq. inches. Answer: Therefore, the lateral surface area of ...The surface area of a right triangular prism = bh + (S 1 + S 2 + h)L. On substituting the values, we get. SA = (5 × 12) + [(5 + 13 + 12) × 11] ⇒ SA = 60 + (30 × 11) ⇒ SA = 390 square units. Therefore, the total surface area of a right triangular prism is 390 square …A collection of Corbettmaths Practice Question Booklets on Surface Area. Surface Area of a Cuboid. Click here for Questions and Answers. Surface Area of a PrismExample 1: rectangular prism example. Look at the image below and determine if it is a rectangular prism or not. Look for the characteristics of a rectangular prism. The shape has 4 4 triangular and 1 1 rectangular face, not 6 6 rectangular faces. 2 State whether or not the shape is a rectangular prism.Example: find the volume of a prism; Practical applications 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. How to calculate the volume of a ...The surface area of a triangular prism is the area that is occupied by its surface. A brief explanation of both is given below along with the formula. There are two important formulae of a triangular prism which are surface area and volume. A right triangular prism has 6 vertices, 9 edges, and 5 faces.Example 1: Find the lateral surface area of a regular pentagonal prism if the perimeter of the base = 270 inches and height = 75 inches. Solution: The lateral surface area of pentagonal prism is, L = Ph, where P is the perimeter of the base and h is the height of the prism Here, P = 270 in, h = 75 in ⇒ LSA = Ph = (270)×(75) = 20,250 sq. inches. Answer: Therefore, the lateral surface area of ...Jul 2, 2020 ... The video explains how to calculate the volume of a right-angled triangular prism by multiplying the cross sectional area by the length ...

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Solution: a = 4 in, b = 5 in. c = 3 in, l = 10 in. Right Triangular Prism. Total Surface Area. The area covered by all the faces of a right triangular prism represents the total surface area. …Formulas for triangular prisms. The triangular prism volume (or its surface area) is usually what you need to calculate. These are the two most fundamental equations: volume = 0.5 * b * h * length. b: length of the base of the triangle. h: height of the triangle. length: prism length. area = length * ( a + b + c ) + (2 * base area)Apr 25, 2023 · The simple thing is add top, bottom, lateral surface areas of the triangular prism to get the result. Triangular Prism Height: Process 1: Observe the volume, sides of the triangle from the question. Multiply the sum of 3 sides, sum two sides subtracted from the third side. Apply square root to the product. Introduce the concept of surface area. Introduce the formula for a prism - cross-sectional area × height. Make connections to composite area. Make connections to circles, cylinders and cones. Demonstrate the difference between a 'right' and an 'oblique' prism. Show real examples of both to give context.The area covered by all the faces of a right triangular prism represents the total surface area. Total surface area = (a + b + c) × l + b × h. Here, “a”, “b”, and “c” are the side lengths of the triangular face, “l” is the length of the rectangular face, “b” is also the base of the triangle and “h” is the height of the ...The surface area of a prism is always equal to the sum of the areas of all its faces, which includes the floor, walls, and roof. Because in a prism, the roof and the floor have the same shape and their surface areas are always the same which can be found out by. The surface area of Prism = 2 × Area of the base + Perimeter of the base × Height.The formula for surface area of a right triangle is A = (b • h)/2 where b is base and h is height. Example 1: A right triangle has a base of 6 feet and a height of 5 feet. Find its surface area. A = (b • h) / 2 A = (6 • 5) / 2 A= 15 feet^2 The area is 15 feet^2 Example 2: A right triangle has a surface area of 21 inches^2 and a base that ...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 ...There are various formulas that are used to calculate the volume and surface area of triangular pyramids. Observe the following figure to relate to the formulas given below: The volume of a triangular pyramid is calculated with the formula, Volume of Triangular Pyramid = 1/3 × Base Area × Height; where we multiply the area of the triangular base by the height of the pyramid (measured from ...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 size of the prism, and s1, s2, as well as s3 are the three sides of the base triangle. Example - Triangular Prism Surface Area. The bases of a triangular prism are created by the best triangular with leg lengths of 4 and also 7. ….

A triangular prism has 5 faces (3 rectangular lateral faces and 2 triangular bases), 9 edges, and 6 vertices. The formula to calculate the lateral surface area (LSA) of a triangular prism is (s1 +s2 +s3) × l ( s 1 + s 2 + s 3) × l. The formula to calculate the total surface area (TSA) of a triangular prism is (b × h) + (s1 +s2 +s3) × l ( b ...What is the formula for the base area of a right triangular prism? A rectangular prism has a height of 4 meters, a surface area of 96 square meters, and a base area of 8 square meters. Calculate the perimeter of the base of the prism. Find the lateral and surface area of a right triangular right prism. Base 8 in by 6 in by 10 in and height 9 in.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.In a report released today, Benjamin Swinburne from Morgan Stanley reiterated a Buy rating on Liberty Media Liberty Formula One (FWONK – R... In a report released today, Benj...Oblique Prism h Right Prism h. Formulas You Need to Remember: •Area of a Triangle → A = bh ÷ 2 •Area of Parallelogram → A =bh ... •Find the surface area of the triangular prism. 12 cm 5 cm 5 cm 6 cm S .A . L .A . 2B L .A . Ph B bh 2 1 S .A . 192 2(15) S A. 222cm2To find the surface area of a right triangular prism using its net, we need to calculate the areas of each face and add them together. The formula for surface area is (2 * (0.5 * base * height)) + (3 * (base * length)). Explanation: To find the surface area of a right triangular prism, we need to find the areas of each face and add them together.A prism is a 3-dimensional object having congruent polygons as its bases and the bases are j... 👉 Learn how to find the volume and the surface area of a prism.The lateral area of a three-dimensional solid is the area of all the lateral faces. 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 ... Formula for right triangular prism surface area, Base area of a Rectangular prism = bl. Surface area of a Rectangular prism = 2 (bl + lh + hb) Volume of a Rectangular prism = lbh. Triangular Prism: A prism that has 3 rectangular faces and 2 parallel triangular bases, then it is a triangular prism. Base area of a Triangular prism = (1/2) × ab., A triangular prism with equilateral triangular bases is a special type of three-dimensional geometric shape. In this unique form, both of the congruent triangular bases consist of equal sides and angles, creating a symmetrical and aesthetically pleasing structure. The lateral faces connecting the bases are parallelograms., Justification of Prism Volume Formula: (For this discussion, our prism will be a right rectangular prism.) ... The surface area of a prism is the sum of the areas of the bases plus the areas of the lateral faces. (The sum of the areas of all the faces.) Right Triangular Prism Surface Area, S, of a right prism: S = 2B + ah + bh + ch or S = 2B + ph, Surface area of a triangular prism is the sum of the areas of all the faces of the prism. It is determined with the formula: Surface area = bh + L (s1 + s2 + s3) where, b is the bottom edge of the base triangle, h is the height of the base triangle, s 1, s 2, and s 3 are the sides of the triangular bases. L is the length of the prism and. , Total surface area: 30 + 30 + 108 + 45 + 117 = 33030 + 30 + 108 + 45 + 117 = 330. 3 Include the units. The measurements on the triangular prism are in cm therefore the total surface area of the triangular prism = 330cm 2330cm2. Example 2: surface area of a triangular prism with an isosceles triangle., Oct 4, 2023 · 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. , 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., 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 area of the right triangular prism becomes 9 times its original value as "l" and "b" are substituted by "3l" and "3b" in the formula of the lateral area of a right triangular prism as A = 3lb = A = 3×(3l)×(3b) = 9 (3lb) which gives 9 times the original value of the lateral area.A prism close prism A 3D shape with a constant ..., The area of the rectangular faces can be found by multiply the base and height lengths together. The area of the triangular faces can be found by multiplying the base and height and dividing by 2. Learn about Volume, Surface area, how to calculate surface area and volume of triangular prism, formula for volume and related concepts with the help ..., Read formulas, definitions, laws from Application of Surface Area and Volume of Solids here. Click here to learn the concepts of Right Prisms from Maths ... Prism. Surface area = 2 × base area + Lateral surface area. formula. Triangular Prism. Surface area = $$2(lb+bh+lh)44. formula. Trangular Prism., Each form has its own volume and surface area. Given, A right prism has a triangular base. From the general formula of surface area. Surface area of triangle = 1/2 * base * height. The surface area of the rectangle = length * width. in our case, Surface area of the triangle = 1/2 * base * height. Surface area of the triangle = 1/2 * 10 * 8.7 ..., Solution. This is a right triangular prism. To find the surface area, we need to find the length of the hypotenuse of the base because it is the width of one of the lateral faces. We can use the Pythagorean Theorem to find this length. Figure 9.10.12 9.10. 12. 72 +242 49 + 576 625 = c2 = c2 = c2 c = 25 7 2 + 24 2 = c 2 49 + 576 = c 2 625 = c 2 ..., 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. The surface area of prism then ..., The area of the right face is also 20 square inches. 7. Add the six areas together. Now you've found the area of each of the six faces. Add them all together to get the area of the whole shape: lw + lw + wh + wh + lh + lh. You can use this formula for any rectangular prism, and you will always get the surface area., The equation for finding the volume of a triangular prism is: ½ × b × h × l = Volume. This means that the equation for the 1st problem would've been: ½ × 7 × 3 × 4 = 42. And you probably just forgot to multiply your equation by ½: 7 × 3 × 4 = 84., Is there a scientific formula for funny? Read about the science and secrets of humor at HowStuffWorks. Advertisement Considering how long people have pondered why humor exists -- a..., Use the surface area, 280 square inches, and the formula for finding the surface area of a right, rectangular prsim to find the missing length and width measurements. So, Since represents the length of a solid figure, we must assume , rather than the negative value. So, the width of the figure is 2 inches and the length is 10 inches., Surface Area (S) = Base Area + (½ × Perimeter of the base × Slant height) S = 144 + (½ × 48 × 20) S = 624 sq.inch. The square pyramid has a surface area of 624 sq. inch. Example 3: Determine the length of the base side of a square pyramid that has a volume of 16 cubic feet and a height of 12 feet., In such a triangle, the legs are equal in length (as a hypotenuse always must be the longest of the right triangle sides): a=b a = b. One leg is a base, and the other is the height - there is a right angle between them. So the area of an isosceles right triangle is: \text {area}=\frac {a^2} {2} area = 2a2., A triangular prism when divided has five faces, two triangular and three rectangular faces. A regular triangular prism has 9 edges. It will make 5 faces. It will make 6 vertices. The properties will change for irregular or semiregular polygons. Surface Area of a Triangular Prism Formula . Surface area is the total space available outside of an ..., The ratio of the surface area, S, to the volume, V, can be expressed as a fraction S/V, or converted to a decimal. In order to find the ratio of the surface area to the volume, we have to first find the surface area of the prism and the volume of the prism., A prism is a 3-dimensional object having congruent polygons as its bases and the bases are j... 👉 Learn how to find the volume and the surface area of a prism., Solution: As we know, the surface area of the prism is given as. Surface Area of Prism = (2 × Base Area) + (Base perimeter × height) Base area = 12 square units. Base perimeter = 18 units. Height of the prism = 6 units. Thus, Surface Area of Prism = (2 × 12) + (18 × 6) ⇒ S = 132 units 2. , The formula to calculate the surface area of a triangular prism is as follows: Surface Area = bh + (s1 + s2 + s3)l. Where b is the area of the base, h is the height of the triangle, s1, s2, and s3 are the sides of the triangle, and l is the length of the prism., Condominium and homeowner association memberships provide care-free maintenance of common ground areas. On the surface, association membership allows the homeowner to rid himself o..., Example 2: Find the surface area of the given trapezoidal prism with height as 3 units, lengths of the bases as 4.5 units, and 6 units, lateral length as 5, and sides of the prism as 2.5 units. Solution: Let us add all the values that …, The formula for the volume of a prism is V = B * h. V is the volume. B is the area of the base shape and h is the height of the prism or the distance between the base shapes. Because B is the area ..., Because this is an oblique triangular prism, you need to find the area of the triangular base. This base has a 1-inch length and a 2-inch height. Remember that the formula for the area of a ..., 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., Example 2: Find the surface area of the given trapezoidal prism with height as 3 units, lengths of the bases as 4.5 units, and 6 units, lateral length as 5, and sides of the prism as 2.5 units. Solution: Let us add all the values that we have from the given image into the formula., Step 1: Determine the base area and the height of the prism. Step 2: Find the volume using the general formula V = Base Area × Height or V = (√3/4)a 2 × h, when the side of the equilateral triangle 'a' and the height 'h' of a triangular prism is known. Step 3: Represent the final answer with cubic units. Download FREE Study Materials., The lateral area of the right triangular prism becomes 9 times its original value as "l" and "b" are substituted by "3l" and "3b" in the formula of the lateral area of a right triangular prism as A = 3lb = A = 3×(3l)×(3b) = 9 (3lb) which gives 9 times the original value of the lateral area.A prism close prism A 3D shape with a constant ...