Question

find the surface area of each figure. complete parts (a) through (e) below

a. cube

the surface area of the cube is
(simplify your answer. type an exac adicals as needed. type an exact answer, using π as needed )

Explanation:

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

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

Step2: Substitute the value of \(a\) into the formula

Given \(a = 8\space cm\), substitute \(a = 8\) into \(S=6a^{2}\). Then \(S = 6\times8^{2}\).
First, calculate \(8^{2}=64\).
Then \(S = 6\times64\).

Step3: Calculate the final result

\(6\times64 = 384\)

Answer:

\(384\space cm^{2}\)