Question

find the surface area of each figure. complete parts (a) and (b).
a. cube
the surface area of the cube is
(simplify your answer. type an exact answer, using radicals 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 \(a = 10\) cm. Substitute \(a = 10\) into \(S=6a^{2}\), we get \(S = 6\times(10)^{2}\).
First, calculate \((10)^{2}=100\). Then \(S = 6\times100\).

Step3: Calculate the result

\(6\times100 = 600\).

Answer:

\(600\) cm²