Question

${\text{Find the volume of a cube whose surface area is 384m}}^2.$

Answer 1

$\text{We know that the surface area of cube}=6a^2=384$

Where the length of each edge of cube be ‘a’ meter

$6a^2=384$
$a^2=\frac{384}{6}$
$=64$
$a=\sqrt[2]{264}$
$=8m$
$\text{Now, volume of cube}=a^3$
$a^3=8^3=8\times 8\times 8$
$=512m^3$
$\therefore {\text{Volume of a cube is 512 m}}^3$