Question

What is the volume of a cube whose diagonal measures 4√3 cm?
1. 8 cm³
2. 64 cm3
3. 27 cm3
4. 16 cm3

Answer 1

Correct Answer - Option 2 : 64 cm3

Given:

Diagonal = 4√3 cm

Formula used:

Side of the cube = (diagonal/√3)

Volume of the cube = (side)³

Calculation:

Side of the cube = (diagonal/√3)

⇒ Side of the cube = 4√3/√3

⇒ Side of the cube = 4 cm

According to the question:

Volume of the cube = (side)3

⇒ (4)³

⇒ 64

∴ Volume of the cube is 64 cm³.