Question

A student wrote the following statement: “A hexagonal prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 square inches.” Identify and correct the error.

Answer 1

The volume of the prism is 300 cubic inches not 300 square inches

Explanation:

we know that

The volume of the prism is equal to

`V=Bh`

where

B is the area of the base

h is the height of the prism

we have

`B=20\ in^2\\h=15\ in`

substitute

`V=20(15)=300\ in^3`

therefore

The volume of the prism is 300 cubic inches not 300 square inches