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

The volume of a rectangular prism is given by:

volume=length*width*height

given that:

length, L=d-2/3d-9

width, w=4/d-4

height, h=2d-6/2d-4

thus the volume will be given by:

volume, V = (d-2/3d-9) (4/d-4) (2d-6/2d-4)

The volume will be:

4/3 (d^2-24d+108/d-84)

The answer is 15/2x or A