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Volume of a Prism

Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 3 of 60.

Cut a loaf of bread into slices. Every slice has the same shape. Put the slices back together and you have the loaf again. A box is like that too, so a box is a prism.

A solid with the same slice all the way through is a prism. It has two equal ends, joined by flat faces. Volume of a prism = area of the end × length.

The legs of a right triangle are the two sides at the right angle. A right triangle end with legs 4 and 3 has area 12⋅4⋅3=6\frac{1}{2}\cdot 4\cdot 3 = 6. So a prism 6 long holds 6⋅6=366\cdot 6 = 36.

A prism with right triangle ends, legs 4 and 3, and length 6

challenge icon

Challenge

The prism's ends are right triangles. Find its volume V.

Then press Check.

Try it yourself

Use the figure to find V

Use the figure to find V

All lessons in Surface Area & Volume