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More Lessons on Singapore Math

Area & Volume Worksheets, Area & Volume Games

Examples, solutions, videos, worksheets, games, and activities to help students learn about measurements in Singapore Math.

In these lessons, we will learn

- what is meant by the base and height of a triangle.
- how to get the formula for calculating the area of a triangle.
- what are cubes and cuboids.
- what are cubic units and unit cubes.
- how to get the formula for calculating the volume of cubes and cuboids.
- how to solve word problems that involve the volume of cubes and cuboids.

This video explains what is meant by the base and height of a triangle using detailed examples.

This video shows how the formula for calculating the area of a triangle is derived

An introduction to cubes and cuboids to prepare for problems related to the measurement of volume and capacity of these solids.

Get familiar with the concepts of cubic units and unit cubes. You will need to know them when you solve problems on volume of cubes and cuboids.

This video shows how to get the formula for calculating the volume of cubes and cuboids.

Volume comparison between objects.

Example:

Find the volume of the carriage of the truck shown. Is the volume larger than that of a cube of length 1.75 m?

Converting one unit of volume to another.

Examples;

A rectangular fresh juice dispenser measuring 18 cm by 30 cm by 24 cm is filled with juice to the brim. Bill fills cups with juice from the dispenser. If he fills 150 ml of juice into each cup, how many cups does he use? Round off your answer to the nearest whole number.

Converting one unit of volume to another.

Example:

Jack empties 12 litres of water from a pail into a tank 51 cm long, 37 cm wide and 28 cm high that was already filled to a depth of 7 cm. How much more water is needed to completely fill the tank?

Converting between the different units of volume.

Example:

A rectangular container 12 cm long, 8 cm wide and 36 cm high was one-third full. When some syrup from a bottle was poured into the container, it got half full. Find the volume of syrup poured from the bottle into the container in millilitres.

Converting between different units of volume.

Example:

376 cc of oil was poured from a tin into a bottle which had 224 ml of oil at first. If the bottle is now one-quarter full, what is the capacity of the bottle?

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