Question

find the surface area of this cube. be sure to include the correct unit in your answer. 3 yd 3 yd 3 yd

Explanation:

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

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

Step2: Identify the side length of the cube.

From the diagram, the side length \( s \) of the cube is 3 yards.

Step3: Substitute the side length into the formula.

Substitute \( s = 3 \) yd into the formula \( SA = 6s^2 \). First, calculate \( s^2 \): \( 3^2 = 9 \) square yards. Then, multiply by 6: \( 6\times9 = 54 \) square yards.

Answer:

The surface area of the cube is 54 square yards.