Question

Using v=lwh what is an expression for the volume of the following rectangular prism? L=d-2/3d-9 w=4/d-4 h=2d-6/2d-4

A.4(d-2)/3(d-3)(d-4)
B.4d-8/3(d-4)^2
C.4/3D-12
D.1/3d-3

Answer 1

Answer:Option C is correct.

4/3d-12

Explanation:

Answer on Edgen

Answer 2

(C)
`v=(4)/(3d-12)`

Explanation:

It is given that
`l=(d-2)/(3d-9)`,
`w=(4)/(d-4)` and
`h=(2d-6)/(2d-4)`

Substituting these values in
`v=lwh`, we have

`v=((d-2)/(3d-9))((4)/(d-4))((2d-6)/(2d-4))`

`v=((d-2)/(3(d-3)))((4)/(d-4))((2(d-3))/(2(d-2)))`

`v=(4)/(3(d-4))`

`v=(4)/(3d-12)`

Therefore, option C is correct.