The total surface area of cube is 96 cm^2 , then it’s volume is
The total surface area of cube is 96 cm2 , then it’s volume is
A) 8 cm3
B) 27 cm3
C) 64 cm3
D) 125 cm3
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Correct option is (C) 64 cm3
Let side length of cube is a cm.
\(\therefore\) \(6a^2=96\) \((\because\) Total surface area of cube is \(6a^2)\)
\(\Rightarrow\) \(a^2=\frac{96}6=16=4^2\)
\(\Rightarrow\) a = 4
\(\therefore\) Volume of cube \(=a^3\)
\(=4^3\) \(=64\,cm^3\)
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