Question

Need help as soon as possible! 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? 5w2 cubic units 6w2 cubic units 5w3 cubic units 6w3 cubic units

Answer 1

            The volume of the right rectangular prism is the product of the base ( L * W ) and the height ( H ):
            V = L * W * H
            And since we know that: L = 2 W and H = 3 W;
            V = 2 W * W * 3 W = 6 W³
            Answer: D ) 6 W³ cubic units.

Answer 2

The volume of the prism in terms of w, the width of the base is 6w^3 cubic units

Volume of a rectangular prism

The formula for calculating the volume of a rectangular prism is expressed as:

V = lwh

l is the length = w

w is the width = 2w
h is the height  = 3w

Substitute

V = w * 2w * 3w
V = 6w^3

Hence the volume of the prism in terms of w, the width of the base is 6w^3 cubic units

Learn more on volume of prism here: https://brainly.com/question/23963432