Question

which expression represents the surface area of the cube? choose 1 answer: a) 5+5+5+5+5+5 b) 5·5·5 c) 6·10 d) 25+25+25+25+25+25 (image of a cube with side length 5)

Explanation:

Step1: Recall the surface area formula of a cube

The surface area of a cube is \(6a^{2}\), where \(a\) is the side - length of the cube. Here \(a = 5\).

Step2: Calculate the area of one face

The area of one face of the cube is \(a\times a=5\times5 = 25\).

Step3: Calculate the surface area

Since a cube has 6 faces, the surface area \(S=25 + 25+25 + 25+25 + 25\) (sum of the areas of 6 faces).

Answer:

D. \(25 + 25 + 25 + 25 + 25 + 25\)