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The volume of the cube with surface area 384 squares centimeters, is:

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216

256

484

answer is A.

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Detailed Solution

Let us consider a cube of side ‘a’ centimeters. The surface area of the cube is given as 6 times the square of the side of the cube. Mathematically,

Applying square root to both the sides of the equation (i), we get
Question Image

Hence, the length of the side of the cube is 8 centimeters.
The cube of the length of the side of the cube results in the volume of the cube. Mathematically,

.
So, substitute the side of the cube as 8 centimeters in the formula

to determine the volume of the cube.
Question Image

Hence, the volume of the cube is 216 cubic centimeters whose surface area is given as 384 squares centimeters (option 1)

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