Question

The total surface area of a cube is 150 sq cm. What is the volume of this cube?

Answer 1

Total surface area of the cube = 6 × (side)²
or 150 = 6 × (side)²
or $\frac{150}{6}={\left(\mathrm{Side}\right)}^2$ (On dividing both the sides by 6)
or 25 = (side)²
or (5)² = (side)²
or 5 cm = side
∴ Side of the cube is 5 cm.
Now, volume of the cube = (side)³
= (5)³ cm³
= 125 cm³