Question

the height of a right rectangular prism is three times the width of the base. the length of the base is twice the width. which expression represents the volume of the prism in terms of w, the width of the base?

Answer 1

6w3

Explanation:

Answer 2

A right rectangular prism looks like a rectangular shoe box. It has 6 faces, all of which are rectangles. The formula for its volume is

V = whl, where w=width, h=height and l=length

From the statement of the problem:

h = 3w
l = 2w

Since all are in terms of w already, the volume could be expressed as a function of the width.

V = w × 3w × 2w


`V=6 w^(3)`