Question

A $1500g$ solid cube having an edge of length $15cm$ floats in water. How much volume of the cube is outside the water? Density of water =$1000Kg{m}^3$

• A. $1875c{m}^3$
• B. $1975c{m}^3$
• C. $2075c{m}^3$
• D. $700c{m}^3$

Answer 1

The correct option is A $1875c{m}^3$

Given that,

Mass $M=1500g=1.5kg$

Length $L=15cm$

We know that,

Volume $V=\frac{M}{\rho }$

Now, the volume is

$V=\frac{1.5}{1000}$

$V=15\times {10}^{-4}{m}^3$

$V=1500c{m}^3$

Now, volume of cube is

$V={15}^3$

$V=3375c{m}^3$

Now, the volume of cube outside water

$V_{outside}=V_{cube}-V$

$V_{outside}=3375-1500$

$V_{outside}=1875c{m}^3$

Hence, the volume of the cube is outside the water is $1875c{m}^3$