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

Respuesta :

Answer:

(C)[tex]v=\frac{4}{3d-12}[/tex]

Step-by-step explanation:

It is given that [tex]l=\frac{d-2}{3d-9}[/tex], [tex]w=\frac{4}{d-4}[/tex] and [tex]h=\frac{2d-6}{2d-4}[/tex]

Substituting these values in [tex]v=lwh[/tex], we have

[tex]v=(\frac{d-2}{3d-9})(\frac{4}{d-4})(\frac{2d-6}{2d-4})[/tex]

[tex]v=(\frac{d-2}{3(d-3)})(\frac{4}{d-4})(\frac{2(d-3)}{2(d-2)})[/tex]

[tex]v=\frac{4}{3(d-4)}[/tex]

[tex]v=\frac{4}{3d-12}[/tex]

Therefore, option C is correct.

Answer:Option C is correct.

4/3d-12

Step-by-step explanation:

Answer on Edgen

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