Question

which expression represents the total surface area of the cube shown? 6(9·9) find the surface area of the cube. s.a. = m²

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 \( s \times s \), so the total surface area (S.A.) of a cube is \( 6 \times (s \times s) \).

Step2: Identify the side length of the cube.

From the diagram, the side length \( s \) of the cube is 9 meters.

Step3: Substitute the side length into the formula.

Substitute \( s = 9 \) into the formula \( S.A. = 6 \times (s \times s) \). So we have \( S.A. = 6 \times (9 \times 9) \).

Step4: Calculate the value.

First, calculate \( 9 \times 9 = 81 \). Then, multiply by 6: \( 6 \times 81 = 486 \).

Answer:

486