Question

the following cube can be unfolded into the net shown below. find the surface area of the cube.

Explanation:

Step1: Find the area of one face

The area of one face of a cube is calculated by the formula \(A = s^2\), where \(s\) is the side - length. Given \(s = 2\) in, then \(A=2^2=4\) in².

Step2: Calculate the surface area of the cube

The surface area of a cube \(S\) is given by \(S = 6A\) (since a cube has 6 faces). Substituting \(A = 4\) in², we get \(S=6\times4 = 24\) in².

Answer:

\(24\) in²