Question

A cube has a combined area of all its faces given by
A = 216x sq. - 432x + 216

What is its volume​

Answer 1

Answer:

$216(x - 1)^3$

Step-by-step explanation:

Area of All 6 Faces Combined = $216x^2 - 432x + 216$

Area of one Face (divide by 6) = $36x^2 - 72x + 36$

Take the Square Root of that to get the length of one side.

$\sqrt{36x^2 - 72x + 36}$

which simplifies to $6(x-1)$.

The volume of a cube is one side of the cube taken to the 3rd power.

$(6(x - 1))^{3}$ = $216(x-1)^3$