Question

A rectangular block of lead measures 20.0 mm x 30.0 mm x 45.0 mm. If the only density of lead is 11.34 g/cm3, calculate the mass of the block.

Answer 1

The formula of density is:

`density = (mass)/(volume)` - (1)

Volume of the block =
`20.0 mm* 30.0 mm * 45.0 mm`

Since,
`1 mm = 0.1 cm`

So, volume of the block =
`2.0 cm* 3.0 cm * 4.5 cm = 27 cm^(3)`

Density of the block =
`11.34 g/cm^(3)` (given)

Substituting the values in formula 1:

`11.34 g/cm^(3) = (mass)/(27 cm^(3))`

`mass= 27 cm^(3)* 11.34 g/cm^(3)`

`mass= 306.18 g`

Hence, the mass of the block is
`mass= 306.18 g`.