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Capacity and Volume Practice

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Capacity and Volume Practice

Solve each task. Show your working for calculations and include the correct units in your answers.

A. Capacity in everyday life

Capacity tells how much a container can hold. Volume tells how much space an object takes up.

1.A bottle holds 750 mL of water, and a solid toy takes up 120 cm³ of space. Which measurement describes capacity, and which describes volume?

The bottle's 750 mL is capacity; the toy's 120 cm³ is volume.
The bottle's 750 mL is volume; the toy's 120 cm³ is capacity.
Both measurements describe capacity.

2.Choose the most suitable unit for each measurement: (a) expressing a swimming pool's capacity of 2,500,000 L as a smaller number, (b) a small medicine bottle's capacity, (c) the volume of a large shed.

3.The measuring cup holds 250 mL, the watering can holds 2 L, and the rain barrel holds 120 L. Which holds the most, and how many times the cup's capacity is that?

4.A camping water container holds 8 L. It is full. Kai pours out 2.5 L for cooking and 1.75 L for washing. How much water remains?

B. Finding volume

For a rectangular prism, volume = length × width × height. The answer is in cubic units.

5.A rectangular lunchbox is 8 cm long, 5 cm wide and 3 cm high. Calculate its volume.

6.A storage crate measures 12 cm by 10 cm by 6 cm. What is its volume?

7.A box has a volume of 180 cm³. Its base is 9 cm long and 4 cm wide. What is the box's height?

8.A rectangular planter has a base that is 20 cm long and 15 cm wide. It is filled with soil to a depth of 10 cm. What volume of soil is in it?

C. Plan and explain

Use what you know about capacity and volume to solve these practical problems.

9.A rain tank contains 5,000 L. The household uses 800 L each day. How many complete days will the water last, and how much will be left after those days?

10.A garden barrel collects 150 L of rainwater. A gardener uses 25 L each week. For how many weeks will the water last?

11.A fish tank measures 40 cm long, 25 cm wide and 30 cm high. Find its volume in cm³, then convert that number to litres. (1,000 cm³ = 1 L.)