Question

The storage container below is in the shape of a rectangular prism with a height of 6 feet and a length that is 2 feet more than its width. Recall that the formula for the volume of a rectangular prism is V = l · w · h, where l is the length, w is the width, and h is the height. Write the equation that represents the volume of the storage container in terms of its width.

Answer 1

The correct answer is 6w^2 + 12w!

Answer 2

The length is 2 feet more than the width so L = w+2
 so volume = (w+2) * w * 6
 use distributive property:

(w*w + 2*w) * 6 =
(w^2+2w) *6 =

use distributive property again:

w^2 *6 + 2w*6 = 

6w^2 +12w