Question

A $700g$ solid cube having an edge of length $10cm$ floats in water. How much volume of the cube is outside the water? Density of water $1000kg{m}^{-3}$

• A. $30{cm}^3$
• B. $300{cm}^3$
• C. $700{cm}^3$
• D. $1000{cm}^3$

Answer 1

The correct option is A $30{cm}^3$

Density of water $=1000kf/m^3=1gm/c{m}^3$

Cube is of $700gm$ so we need to calculate volume of water having mass $700gm$ which is $=m/d=700/1=700c{m}^3$

Now the cube need to be $700c{m}^3$ inside the water to displace this volume of water but full volume of $cube={10}^3=1000c{m}^3$ so $1000-700=300c{m}^3$ of cube will be outside the water.

Option B is correct.