Question

1. determine the surface area of a cube with sides that measure 8 mm.

Explanation:

Step1: Recall the formula for the surface area of a cube

The surface area formula of a cube is \(S = 6s^{2}\), where \(s\) is the side - length of the cube.

Step2: Substitute the given side - length into the formula

Given \(s = 8\space mm\). Substitute \(s\) into the formula: \(S=6\times(8)^{2}\).
First, calculate \(8^{2}=64\). Then, \(S = 6\times64\).

Step3: Calculate the final result

\(6\times64 = 384\space mm^{2}\)

Answer:

The surface area of the cube is \(384\space mm^{2}\)