Question

what is the surface area of a cube with an edge length of 8 inches? 192 in.² 288 in.² 384 in.² 512 in.³

Explanation:

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

A cube has 6 square faces, and the area of one square face with side length \( s \) is \( s^2 \). So the surface area \( SA \) of a cube is \( SA = 6s^2 \).

Step2: Substitute the given edge length into the formula.

The edge length \( s = 8 \) inches. Substitute \( s = 8 \) into the formula: \( SA = 6\times(8)^2 \).
First, calculate \( 8^2 = 64 \). Then, multiply by 6: \( 6\times64 = 384 \).

Answer:

\( 384\space in.^2 \)