Question

A cube has a total surface area of 54 square inches.
What is the volume of the cube?

Answer 1

V = 27 in³

Explanation:

The formula of a surface area of a cube:

`S.A.=6a^2`

a - edge

We have S.A. = 54 in². Substitute:

`6a^2=54` divide both sides by 6

`a^2=9\to a=\sqrt9\\\\a=3\ in`

The formula of a volume of a cube:

`V=a^3`

Substitute:

`V=3^3=27\ in^3`