The total surface area of a cube is 96 , cm^2 | vedclass

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Question

(C) The total surface area of a cube is given by the formula $6 	imes (	ext{edge})^2$.Given that the total surface area is $96 \, cm^2$, we have $6

Vedclass · Accepted Answer

$64$

Vedclass · Answer

(C) The total surface area of a cube is given by the formula $6 	imes (	ext{edge})^2$.Given that the total surface area is $96 \, cm^2$, we have $6 	imes (	ext{edge})^2 = 96$.Dividing both sides by $6$, we get $(	ext{edge})^2 = 16$.Taking the square root of both sides, the edge length is $	ext{edge} = \sqrt{16} = 4 \, cm$.The volume of a cube is given by the formula $(	ext{edge})^3$.Therefore, the volume $= (4)^3 = 64 \, cm^3$.

The total surface area of a cube is $96 \, cm^2$. The volume of the cube is (in $cm^3$)

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