Question

a cube has a volume of 474,552 cubic units. what is the surface area, in square units, of the cube?

Explanation:

Step1: Find the side - length of the cube

Let the side - length of the cube be $a$. The volume formula of a cube is $V = a^{3}$. Given $V=474552$, then $a=\sqrt[3]{474552}=78$ (since $78\times78\times78 = 474552$).

Step2: Calculate the surface area of the cube

The surface - area formula of a cube is $S = 6a^{2}$. Substitute $a = 78$ into the formula, we get $S=6\times78^{2}=6\times6084 = 36504$.

Answer:

36504