Measurement: Volume of Cube and Cuboid - Part 3
Units of Volume (l, ml, cm3)
Volume can be measured in several units.
Some of the more common ones are:
Following is the relation between the units of volume:
Some of the more common ones are:
- cm3 or cubic centimetres
- millilitres
- litres
Following is the relation between the units of volume:
- 1 litre = 1000 ml
- 1 ml = 1 cm3
- 1 litre = 1000 cm3
2. What is a cubic unit?
1 cubic unit is the amount of space that a unit cube occupies.
Or simply,
1 cubic unit = the volume of a unit cube
The object below is made of 6 unit cubes.
Its volume is 6 cubic units.
Here are some other solids that have the same volume (6 cubic units).
3. What is 1 cm3?
1 cm3 = the volume of a cube of 1-cm sides
The object below is made of eight 1-cm3 units.
Its volume is 8 cm3 or 8 cubic centimetres.
Here are some other solids that have the same volume (8 cm3).
4. What is the volume of the cuboid below?
Each layer in the cuboid above has 4 × 3 = 12 cubes
Since there are 2 layers in the cuboid, there are
2 × 12 = 24 cubes altogether.
Each of the 24 cubes has a volume of 1 cm3.
So, the volume of the cuboid is 24 × 1 cm3 = 24 cm3.
Volume of a cuboid = length × breadth × height
Applying this formula in the example above, we get:
Volume of the given cuboid
= 4 cm × 3 cm × 2 cm
= 24 cm3
Volume of the given cuboid
= 4 cm × 3 cm × 2 cm
= 24 cm3
5. What is the volume of the cube below?
A cube is a cuboid with the same length, breadth and height.
Volume of a cube
= length × breadth × height
= length × length × length
Volume of the given cube
= 5 cm × 5 cm × 5 cm
= 125 cm3
= 5 cm × 5 cm × 5 cm
= 125 cm3
6. Calculate the volume of a cuboid-shaped crate that measures 3 m by 2 m by 1.7 m.
Volume of the crate
= 3 m × 2 m × 1.7 m
= 10.2 m3
The volume of the crate is 10.2 m3.