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# Convert two smaller units of cubic centimeter ( $c{m^3}$ ) and cubic millimetre ( $m{m^3}$ ) into ${m^3}$ .

Last updated date: 20th Jun 2024
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Hint: The units like Millimeter (mm), Decimeter (dm), Centimeter (cm), Meter (m), and Kilometer (km) are used to measure how long or wide or tall an object is. Hence we can write, $1m = 100cm = 1000mm$ .

Complete Step by Step Solution
A metric unit of volume, commonly used in expressing concentrations of a chemical in a volume of air. One cubic meter equals $35.3$ cubic feet or $1.3$ cubic yards. One cubic meter also equals 1000 liters or one million cubic centimeters.
The volume equivalent to a cube of one millimeter by one millimeter by one millimeter. More often referred to as a microliter as it is a millionth of a liter.
$m{m^3} = \dfrac{{{m^3}}}{{1000000000}}$
The volume equivalent to a cube of one centimeter by one centimeter by one centimeter. More often referred to as a microliter as it is a millionth of a cubic meter.
$c{m^3} = \dfrac{{{m^3}}}{{1000000}}$ .

Note
The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.
To measure smaller or larger quantities, we use units derived from the metric units.The units to the right of the base unit are smaller than the base unit. As we move to the right, each unit is 10 times smaller or one-tenth of the unit to its left. So, a ‘deci’ means one-tenth of the base unit, ‘centi’ is one-tenth of ‘deci’ or one-hundredth of the base unit and ‘milli’ is one-tenth of ‘centi’ or one-thousandth of the base unit.
The units to the left of the base unit are bigger than the base unit. As we move to the left, each unit is 10 times greater than the unit to its right. So, a ‘deca’ means ten times of the base unit, ‘hecto’ is ten times of ‘deca’ or hundred times of the base unit and ‘killo’ is ten times of ‘hecto’ or thousand times of the base unit.