Answer :
Final answer:
The surface area of a cube is used to find the length of its sides, which then allows for the calculation of the cube's volume. In this case, the volume of the cube is 27 cubic inches.
Explanation:
The surface area of a cube is the total area of all six faces combined. Since a cube has equal sides, we can divide the total surface area by 6 to find the area of one face. If the surface area of the cube is 54 in2, the area of one face is 54 in2 ÷ 6 = 9 in2. The length of one side of the cube (s) is the square root of the area of one face, so s = √9 = 3 in. To find the volume of the cube, we cube the length of one side, resulting in V = s3 = 3 in x 3 in x 3 in = 27 in3. Therefore, the volume of the cube is 27 in3 or option A.
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Answer: A
We know that a cube has six equal sides, so we can divide 54 by 6
54/6 = 9
That means that each side is 9 square inches. And because each side is a perfect square, we can get the square root of the area to get the side lengths.
√9 = 3 inches
This means that the side lengths are 3 inches, and we know that the volume of a cube is length cubed. So that gives us
3^3 = 3*3*3 = 27 cu. Inches
Therefore a cube with a surface area of 54 square inches has a volume of 27 cubic inches.
We know that a cube has six equal sides, so we can divide 54 by 6
54/6 = 9
That means that each side is 9 square inches. And because each side is a perfect square, we can get the square root of the area to get the side lengths.
√9 = 3 inches
This means that the side lengths are 3 inches, and we know that the volume of a cube is length cubed. So that gives us
3^3 = 3*3*3 = 27 cu. Inches
Therefore a cube with a surface area of 54 square inches has a volume of 27 cubic inches.
