Question

cassie has a small cube - shaped box. its volume is 64 cubic centimeters. what is the area of one face of the box? enter your answer in the box. cm²

Explanation:

Step1: Find the side length of the cube

The volume formula of a cube is \(V = s^{3}\), where \(s\) is the side - length. Given \(V=64\space cm^{3}\), then \(s=\sqrt[3]{V}\).
So \(s = \sqrt[3]{64}\).
Since \(4\times4\times4=64\), \(s = 4\space cm\).

Step2: Calculate the area of one face

The area formula of one face of a cube (which is a square) is \(A=s^{2}\).
Substitute \(s = 4\space cm\) into the formula, we get \(A=4^{2}\).
\(A = 16\space cm^{2}\)

Answer:

\(16\)