Question
What is the length of each side of a cube with the total surface area of 96
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Answers
Answered by
GPT 3.5
To find the length of each side of a cube with a total surface area of 96 in^2, we first need to calculate the surface area of one face of the cube. Since a cube has 6 faces and all faces are identical, the surface area of one face is the total surface area divided by 6.
Surface area of one face = 96 in^2 / 6 = 16 in^2
Now, let's find the length of each side of a cube with a surface area of 16 in^2 for one face.
Since each face of a cube is a square, the area of a square is given by the formula A = s^2, where s is the length of a side.
16 in^2 = s^2
Taking the square root of both sides gives:
s = √16 in = 4 in
Therefore, the length of each side of the cube is 4 inches.
Surface area of one face = 96 in^2 / 6 = 16 in^2
Now, let's find the length of each side of a cube with a surface area of 16 in^2 for one face.
Since each face of a cube is a square, the area of a square is given by the formula A = s^2, where s is the length of a side.
16 in^2 = s^2
Taking the square root of both sides gives:
s = √16 in = 4 in
Therefore, the length of each side of the cube is 4 inches.
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