A solid cube of side 15 cm is dropped into a rectangular container of length 25 cm, breadth 20 cm and height 18 cm, which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:?

7.75
5.25
6.75
8.75

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : 6.75

Given:

Side of the cube = 15 cm

Dimension of the rectangular container = 25 × 20 × 18 (in cm)

Concept used:

Volume of cube = (Side)³

Volume of a cuboid = Length × Breadth × Height

Calculation:

Let the rise of the water level be Q cm.

Hence, the volume of the cube must be equal to the volume of the water that has been aroused by submerging the cube into the rectangular container.

According to the question,

15³ = 25 × 20 × Q

⇒ Q = 6.75

∴ The rise of the water level is 6.75 cm.

5 views Answered 2022-09-04 04:29

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