Question

How many cubic centimetres \[c{m^3}\] are there in \[1\] litres?

Answer 1

Hint: This problem is based on conversion of one unit to another unit. We have to convert the volume from Litres to cubic centimetre \[c{m^3}\]. We will use the fact that \[1\] litre of volume is the volume occupied by a cube of length \[10\] \[cm\].
We will use the formula to find the volume of the cube \[ = \] \[{a^3}\] where \[a\] is the length/side of the cube.

Complete step-by-step solution:
This question is based on the conversation unit of measurement. The unit of measurement in mathematics is a standard quantity which is used to express a physical quantity. This standard unit is adopted world wide and known as SI unit. There are \[7\] basic standard units.
Volume is the amount of air occupied by any vessel or container. We use cubic metre \[({m^3})\] to measure volume. Other unit of measuring volume are cubic centimetre, millilitres, litres etc
Consider the given question,
We know that \[1\] litre is the volume occupied by a cube of length \[10\] cm.
So the volume of the cube \[ = \] \[{a^3}\] where \[a\] is the length/side of the cube.
Volume of cube of length \[10\] cm \[ = \]\[10 \times 10 \times 10\]\[c{m^3}\]\[ = \]\[1000\]\[c{m^3}\]
Hence, \[1\] litre \[ = \]\[1000\]\[c{m^3}\]
Hence \[1000\]\[c{m^3}\] are there in \[1\] litre.

Note: SI UNIT is the standard unit of measurement.
There are \[7\] basic units of measurement. These are – metre, Ampere, kilogram, kelvin, second, candela and mole.
\[1\] litre is defined as the volume occupied by a cube of length/side \[10\] cm.
The standard unit of measuring volume is cubic metre \[({m^3})\]. Other units are also used such as cubic centimetre (\[c{m^3}\]), litres (\[L\]), millilitres (\[mL\]) etc.