The volume of a cube a cube whose surface area is 96 cm^2, is: - Vidyadip

Question

The volume of a cube a cube whose surface area is $96\ cm^2,$ is:

✓

Answer

Let,
$a \rightarrow$ Side of the cube
$V \rightarrow$ Volume of the cube
$A \rightarrow$ Surface area of the cube
We have,
$A = 96\ cm^2$
$6a^2 = 96$ Since,$ A = 6a^2$
$a = 4\ cm$
So,
$V = a^3$
$= 4^3$
$= 64\ cm^3$
Thus, volume of the cube is $64\ cm^3.$

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