Question

A cube of edge 15 cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of the vessel are 30 cm x 15 cm, then find the rise in the water level.
1. 7.5 cm
2. 9.0 cm
3. 11.5 cm
4. 12.0 cm

Answer 1

Correct Answer - Option 1 : 7.5 cm

Given:

Side of cube = 15 cm

Length and Breadth of rectangular vessel are 30 cm and 15 cm

Formula Used:

Volume of cube = (Side)³

Volume of vessel = Length × Breadth × Height

Calculation:

Let the rise in the water level be H

Volume of cube = (15)3

Volume of vessel = 30 x 15 x H

According to the question;

⇒ 30 x 15 x H = (15)3

⇒ 30 x 15 x H = 15 × 15 × 15

⇒ H = 15/2 = 7.5 cm

∴ The rise  in the water level is 7.5 cm