Question

A piece of brass weighs $175g$ in air and $150g$ when fully submerged in water. The density of water is $1.0gc{m}^{-3}$. The volume of the brass piece is $X^{2}c{m}^3$. Find $X$.

• A. $5$
• B. $25$
• C. $\sqrt{175}$
• D. $\sqrt{150}$

Answer 1

The correct option is A $5$

Volume of Brass = Upthrust acting on it

Upthrust = Weight in air - weight when immersed in water

$\Rightarrow 175-150=25kgf$

So, Volume of brass= Upthrust $=25c{m}^3$

$\Rightarrow X^2=25$

$\Rightarrow X=5$