Question

State two smaller units of volume. How are they related to the S.I. unit?

Answer 1

A smaller unit of volume is cubic centimetre (symbol $c{m}^3$ ) and cubic decimetre (symbol $d{m}^3$ ).
One cubic centimetre is the volume of a cube of each side 1 centimetre, i.e.,
$1c{m}^3=1cm\times 1cm\times 1cm$
Relationship between $m^3$ and $c{m}^3$ is,
$1m^3=1m\times 1m\times 1m$
$=100cm\times 100cm\times 100cm$
$=10,00,000c{m}^3$
$={10}^{6}c{m}^3$
Relationship between $m^3$ and $d{m}^3$ is,
$1m^3=1m\times 1m\times 1m$
$=10dm\times 10dm\times 10dm$
$=1000d{m}^3$
$={10}^{3}d{m}^3$