Question

Three blocks of the same mass are placed in front of you. Block A has a volume of

3.0 cm", block B of 5.0 cm', and block C of 10.0 cm. Which has the higher
density?

Answer 1

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
`\rho` is given by :

`\rho=(M)/(V)` ......1 )

Here , V is volume .

Now , volume V for cube is given :

`V=a^3` .......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 .