Capacity is the amount of substance (usually a liquid or a gas) that a container can hold. Capacity is usually expressed in milliliters or liters. You can convert between milliliters and liters using the formula 1 liter = 1000 milliliters.

Volume on the other hand is the measure of the amount of space taken up by a substance.

Practice questions

Question: Convert the following milliliters into liters

1. 1200 ml

2. 22000 ml

3. 4509 ml

( Answer: 1.2 l, 22 l, 4.509 l )

**Measuring capacity**

Capacity is measured by converting volume from cubic units to milliliters or liters. Volume is usually measured in cubic meters or cubic centimeter.

1 milliliter is equal to 1 cubic centimeters

1 liter = 1000 cubic centimeters

1000 liters is equal to 1 cubic meter

Practice questions

Question: Convert the following cubic centimeters into milliliters

4. 200 cubic cms

5. 3 cubic cms

6. 9000 cubic cms

( Answer: 200 ml , 3 ml , 9000 ml or 9 liters )

Practice questions

Question: Find the capacity of a cylindrical vessel whose base radius is 5 cms and height is 7 cms.

( Answer: Capacity of the cylinder = volume of the cylinder

= π r2 h

= 22 / 7 * 5 * 5 * 7

= 550 cubic cms = 550 mls

)

Question: A milk bottle has a capacity to hold 250 ml of milk. How much milk can be stored in 12 such bottles?

( Answer: Capacity of 1 milk bottle = 250 ml

Capacity of 12 milk bottles = 250 * 12

= 3000 ml or 3 liters

)

Question: Calculate the capacity of a cube of side 2 cms.

( Answer: Volume of the cube = s3 where s is the length of the side of the cube

= 2 * 2 * 2

= 8 cubic cms

Capacity of the cube = its volume = 8 milliliters

)

Question: Calculate the capacity of a cuboid of length = 5 cms, width = 2 cms and height = 4 cms

( Answer: Length of the cuboid l = 5 cms

Width of the cuboid w = 2 cms

Height of the cuboid h = 4 cms

Volume of the cuboid = l * w * h

= 5 * 2 * 4

= 40 cubic cms

Capacity of the cuboid = its volume = 40 milliliters

)

Question: Calculate the capacity of a cuboid of length = 4 cms, width = 5 cms and height = 4 cms

( Answer: Length of the cuboid l = 4 cms

Width of the cuboid w = 5 cms

Height of the cuboid h = 4 cms

Volume of the cuboid = l * w * h

= 4 * 5 * 4

= 80 cubic cms

Capacity of the cuboid = its volume = 80 milliliters

)

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