Using V = iwh what is an expression for the volume of the following prism

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explanation

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we know that

The volume of the prism is equal to

V=L*W*H

where

L is the length side of the base of the prism

W is the width side of the base of the prism

H is the height of the prism

In this problem we have

L=/frac{d-2}{3d-9}=/frac{d-2}{3 (d-3) }

W=/frac{4}{d-4}

H=/frac{2d-6}{2d-4}=/frac{2 (d-3) }{2 (d-2) }=/frac{ (d-3) }{ (d-2) }

Substitute the values in the formula

V=/frac{d-2}{3 (d-3) }*/frac{4}{d-4}*/frac{ (d-3) }{ (d-2) }=/frac{4}{3 (d-4) }=/frac{4}{3d-12}

therefore

the answer is the option

4/3d-12