Question

find the surface area of this cube. be sure to include the correct unit in your answer. 5 in 5 in 5 in

Explanation:

Step1: Find the area of one face

The area of one face of a cube is \(a\times a\) (where \(a = 5\) in). So, \(A_{face}=5\times5 = 25\) square inches.

Step2: Multiply by the number of faces

A cube has \(6\) faces. The surface area \(S\) of the cube is \(S = 6\times A_{face}\). Substitute \(A_{face}=25\) into the formula: \(S=6\times25=150\) square inches.

Answer:

\(150\) square inches