A cube has a surface area of 150in^{2 }What is the length of a side?
A cube has a surface area of 150in. what is the length of a side?
Tutors, please sign in to answer this question.
2 Answers
Every cube has 6 outside surfaces. Divide 150 square inches by six to determine the surface area of each surface. The result is 25 square inches.
This is a cube. Each edge is exactly the same length and each surface is a square. Each square surface has exactly the same surface area. To determine the length of each side, take the square root of 25 square inches. The answer is 5 inches.
To check the answer, multiply 6 surfaces x 5 in. x 5 in = 150 square inches or 150 in. ^{2}.
the surface area of the cube is 6a^2, since there are 6 squares in total to form a cube.
so, 6a^2=150, a^2=25, a=5, so the length of a side is 5 in.