Given :
Three block of same mass name A , B and C .
Sides of block A , B and C is 3.0 cm , 5.0 cm and 10.0 cm .
To Find :
Which block has the higher density .
Solution :
We know , density [tex]\rho[/tex] is given by :
[tex]\rho=\dfrac{M}{V}[/tex] ......1 )
Here , V is volume .
Now , volume V for cube is given :
[tex]V=a^3[/tex] .......2 )
( Here , a is the side of cube )
Now ,form equation 1 we can see if mass remains constant then density decrease with increase in volume.
Therefore , cube with minimum side will have higher density , in this case it is 3 cm block .
Hence , this is the required solution .