Question
The total surface area of a cube is $216 \ cm ^2$. Find its volume.
✓
Answer
$6($Edge$)^2=$Total surface area of a cube
$ 6($Edge$)^2=216 \ cm ^2$
$ =>($Edge$)^2=\frac{216}{6}$
$ =>($Edge$)^2=36$
$ \Rightarrow$ Edge $=\sqrt{36}$
$ \Rightarrow $ Edge $=6 \ cm$
Volume of the given cube $=($Edge$)^3=(6)^3=6 \times 6 \times 6=216 \ cm ^3$
$ 6($Edge$)^2=216 \ cm ^2$
$ =>($Edge$)^2=\frac{216}{6}$
$ =>($Edge$)^2=36$
$ \Rightarrow$ Edge $=\sqrt{36}$
$ \Rightarrow $ Edge $=6 \ cm$
Volume of the given cube $=($Edge$)^3=(6)^3=6 \times 6 \times 6=216 \ cm ^3$
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