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?
6 II
O5w2 cubic units
O6w2 cubic units
O 5w cubic units
O6wº cubic units

Answer 1

6*W^3 cubic units

Explanation:

Right rectangular prism volume (V) is calculated as

V = L*W*H

where L is length, W is width and H is height

The height is three times the width of the base means

H = 3*W

The length of the base is twice the width means

L = 2*W

Replacing in volume formula

V = 2*W*W*3W

V = 6*W^3

Answer 2

6w³ cubic units

Explanation:

The volume of a right rectangular prism is the product of its dimensions:

V = LWH

= (2w)(w)(3w) = 6w³ . . . . cubic units