Volume and Capacity
Noth the terms "Volume" and "Capacity" are used interchageably. However, there isn't much of a difference between them.
(a) Volume is the amount of space occupied by an object while
(b) Capacity is the quantity of any substance that a container is capable of holding.
For example: If a water tin holds 100 cm3 of water then the capacity of that water tin is 100 cm3.
Note: Capacity is also measured in terms of litres (L).
The relation between litre and cm3 is:
1 mL = 1 cm3
1 L = 1000 cm3
Therefore,
1 m3 = 1000000 cm3 = 1000 L
Example 8: Find the height of a cuboid whose volume is 275
Example 9: A godown is in the form of a cuboid of measures 60 m × 40 m × 30 m. The number of cuboidal boxes that can be stored in it, if the volume of one box is 0.8 m3 is:
- Putting the values in the volume formula.
- We get volume of godown =
m 3 - Next, the volume of a single box has been given as
m 3 - Thus, the number of boxes that can be kept in the godown is equal to
- Number of boxes that can be stored has been found.
Example 10: A rectangular paper of width 14 cm is rolled along its width and a cylinder of radius 20 cm is formed. The volume of the formed cylinder is:
- From the question, we know that the height of the cylinder =
cm - Putting, the values of r and h into the volume formula, we get volume =
cm 3 - Substituting values
- Volume of formed cylinder has been found.
Example 11: A rectangular piece of paper 11 cm × 4 cm is folded without overlapping to make a cylinder of height 4 cm. Find the volume of the cylinder.