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

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

Step-by-step explanation:

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol