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The total surface area of a cube is 96cm2, find its volume.

User Want Query
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1 Answer

7 votes

Answer:


\huge\boxed{V=64cm^3}

Explanation:

The formula of a surface area of a cube:


SA=6a^2

The formula of a volume of a cube:


V=a^3

We have


SA=96cm^2

Calculate the edge length (a).


6a^2=96 divide both sides by 6


a^2=16\to a=√(16)\\\\a=4(cm)

Calculate the volume of a cube:


V=4^3=64(cm^3)

User Uncle Dino
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