Using v = lwh, what is an expression for the volume of the following prism?

Asked by maham237 @ 23/12/2020 in Mathematics viewed by 350 People

Using v=lwh, what is an expression for the volume of the following prism?

Answered by maham237 @ 23/12/2020

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

$\frac{4}{3d-12}$

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