Question

Find the volume of a box, if the surface area of three faces of a rectangular box are 12 cm, 24 cm and 18 cm.
1. 12 cm³
2. 62 cm³
3. 72 cm³
4. 54 cm³

Answer 1

Correct Answer - Option 3 : 72 cm³

Given

Surface area of three faces of  box are 12 cm, 24 cm and 18 cm

Formula used

Volume of box = √ A₁ × A₂ × A₃

Where A₁ , A₂ and A₃ are area of three faces

Calculation

A₁ = 12, A₂ = 24 and A₃ = 18

Volume of box = √12 × 24 × 18

The volume of a box = √5184

Volume of a box = 72 cm³

∴ The volume of a box is 72 cm³