Question
The volume of a cube is $1331 \ cm^3$. Find its total surface area.
✓
Answer
Let the side of the cube be ' $a$ ' $cm$
$\therefore$ Volume of cube $=a^3$
$\therefore 1331= a ^3$
$...($Given$)$
$\therefore a=\sqrt[3]{1331} \ldots ($Taking cube roots on both sides$)$
$\therefore a=11 \ cm$
Surface area of a cube
$ =6 a ^2$
$=6 \times 112$
$=6 \times 121$
$=726 \ cm ^2 $
Hence, the surface area of the cube is $726 \ cm ^2$.
$\therefore$ Volume of cube $=a^3$
$\therefore 1331= a ^3$
$...($Given$)$
$\therefore a=\sqrt[3]{1331} \ldots ($Taking cube roots on both sides$)$
$\therefore a=11 \ cm$
Surface area of a cube
$ =6 a ^2$
$=6 \times 112$
$=6 \times 121$
$=726 \ cm ^2 $
Hence, the surface area of the cube is $726 \ cm ^2$.
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