The whole surface of a cube is 150 sq.cm. Then the volume

Home » Aptitude » Mensuration » Question

The whole surface of a cube is 150 sq.cm. Then the volume of the cube is

1. 125 cm³
2. 216 cm³
3. 343 cm³
4. 512 cm³

Correct Option: A

Edge of cube = a cm (let)
∴ Its total surface area = 6a²
∴ 6a² = 150

⇒ a² =	150	= 25
	6

⇒ a = 25 = 5 cm
∴ Volume of cube = a³ = (5 × 5 × 5) cu.cm = 125 cu.cm