Like the measurement of area, the measurement of volume, also requires a unit. In the case of area, the units are 1 sq cm, 1 sq m etc. Which are the areas of squares the sides of which are 1 cm, 1 m etc. respectively? For the measurement of volume, the volume of a cube, whose each edge is 1 cm is taken as the unit of volume. The volume of such a cube is 1 cubic cm. One cubic cm is written as 1 cu. Cm or 1 cc or 1 cm^3. Such a cube is called unit cube.
For measuring bigger volumes are take larger units. The volume of a cube, whose each edge is 1 m, is 1 cu. m or 1 m^3.
Relationship between different units of volume:
1 cm = 10 mm
= 1 cu cm = 10 mm × 10 mm
= 1000 cu mm
1 m = 100 cm
1 cu m = 100 cm × 100 cm × 100 cm
= 1000000 cu cm
We will learn how to find the volume by counting cubes. To find the volume of a rectangular solid (cuboids and cubes), we find the number of unit cubes which together make the given solid or fill up the entire space occupied by the solid.