Question

What is the volume of a cube whose total surface area is 216 sq cm?

Answer 1

Total surface area of the cube = 6 × (side)²
or 216 = 6 × (side)²
or $\frac{216}{6}={\left(\mathrm{Side}\right)}^2$ (On dividing both the sides by 6)
or 36 = (side)²
or (6)² = (side)²
or 6 cm = side
∴ Side of the cube is 6 cm.
Now, volume of the cube = (side)³
= (6)³ cm³
= 216 cm³