Geometry

# Would tripling the height of a triangular prism triple its volume?

123 ###### 2014-03-10 19:22:37

If you triplied the height of a triangular prism, would that triple it volume

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## Related Questions the volume changes as radius squared and linear with height, so tripling radius and double of height gives 3 x 3 x 2 = 18 times more volume Yes, the volume triples. When you have a height of 18, the volume will equal 864. (Volume of a pyramid is the area of the base x the height x 1/3)18*3=54. When you plug this in to the above listed formula, the volume will be 2592. Divide that by three and you get 864. You find the volume of a triangular prism by using this formula: Volume = 1/2 base of the triangle x height of the triangle x height of the prism. A triangular prism can be thought of as a stack of triangles. Then the volume is equal to the area of the triangular base multiplied by the height of the prism, or 1/2 length * width * height. triangular prism- formula: Abh(area of the base * height)   The formula for finding the volume for a triangular pyramid is half base x height x length. A triangular pyramid has four faces.  One half base times height (of the triangular section) times length. Capacity generally implies volume in geometry. To calculate the volume of a triangular prism, find the area of one of its triangular bases and multiply it by the height of the shape. The volume is equal to the area of the base multiplied by the height. So, to find the height, just divide the volume by the area of the base. The volume of a rectangular prism is found by; Volume = Length x Width x Height The volume of a triangular prism is found by; Volume = 1/2 x Length x Width x Height Therefore, Length, Width and Height being identical, 1) the volume of a rectangular prism is twice that of a similar triangular prism OR 2) the colume of a triangular prism is half that of a similar rectangular prism. Like all prisms you find the area of one of the triangular faces and then multiply by the height. The height of a triangular based pyramid is given by h=2V/(bxl). V is its volume, b its base and l its length.    To find the volume of a triangular prism, find the area of one of the triangles (base of the prism) first (base x height divided by 2). When you have the area of the triangle, then multiply the area of the triangle by the height of the prism, *not the height of the base. The Formula is Base*Height, or 1/2 Height (altitude of the triangle) * Base (of the Triangle) * height (Height of the prism)  The general way to find the volume for any shape is the formulaV=Bh (volume equals base times height). The specific formula used to find the volume of a triangular prism is V=1/2(or 0.5)bhh (volume equals one half or 0.5 times base times height times height again. The formula used to determine the volume of a triangular prism is v = 1/2 (length)(width)(height). v= 1/2 (lwh)  ###### Math and ArithmeticGeometryBusiness & FinanceAlgebra Copyright © 2020 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.