Question

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

Answer 1

Answer:

V = 27 in³

Step-by-step 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:

$V=3^3=27\ in^3$