Assertion (A): The liquid displaced by a solid cube of a side 3 cm when completely immersed in the liquid is more than displaced by a solid cube of side 2 cm.
Reason (R ) : The liquid displaced by a solid increases with increase in the volume of the solid.

Options

A. Both A and R are true and R is the corect explanation of A.
B. Both A and R are true and R is not the corect explanation of A.
C. A is true but R is false.
D. Both A and R are false.

Answer

A

Explanation

The volume of liquid displaced by a solid cube of side 3 cm is 27 cm and the volume of liquid displaced by a solid cube of side 2 cm is `8 cm^(3)`. So, the solid cube with side 3 cm can displace more liquid than the cube with side 2 cm. The volume of the liquid displaced increases with increase in the volume of the solid. So, both A and R are correct and R is the correct explanation of A.