What is a prism? Rectangular and triangular prisms

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This is a triangular prism

This is a triangular prism

A prism is the solid shape you get if you move a flat polygon through space. A prism has five planes: a top, a bottom, and three sides. The most common kind of prism is a rectangular prism, made by moving a quadrilateral through space: a cube is a common example of a rectangular prism. The next most common kind of prism is a triangular prism, made by moving a triangle through space.

To figure out the surface area of a prism, calculate the surface area of each side and add them together. On a rectangular prism, each rectangular side is congruent (the same size) with the another one parallel to it.

On a triangular prism, three of the sides are rectangles, and two of them are triangles. At least two of the rectangles are congruent, and the two triangles are also congruent.

To figure out the volume of a triangular prism, think of the prism as a rectangular solid sliced in half. So you multiply the length by the height by the thickness, and then divide the result in half.

One useful thing that is in the shape of a triangular prism is a camping tent. Why might you need to know the volume of a tent? The attic of a house might also be in the shape of a triangular prism.

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By | 2017-07-29T11:53:44+00:00 July 29th, 2017|Math|0 Comments
Cite this page: Carr, K.E. What is a prism? Rectangular and triangular prisms. Quatr.us Study Guides, July 29, 2017. Web. December 12, 2017.

About the Author:

Karen Carr

Karen Carr is Associate Professor Emerita, Department of History, Portland State University. She holds a doctorate in Classical Art and Archaeology from the University of Michigan. Follow her on Instagram, Pinterest, or Twitter, or buy her book, Vandals to Visigoths.

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