GCSE(F),

The volume of a cuboid is:

Volume = length x width x height

and is measured in cubic units e.g. mm^{3}, cm^{3} or m^{3}.

The cuboid shown below has been built from 1cm blocks. Tthere are 9 x 5 x 4 (=180) blocks in the cuboid.

1. What is the volume of a cuboid that is 20 cm by 30 cm, and is 1.2m long? Give the answer in metres cubed.

Answer: 0.072m^{3}

Change the 20cm and 30cm measurements to metres

Volume of a cuboid = length x width x height

V = 0.2 x 0.3 x 1.2 = 0.072 m^{3}

2. A building is 80m long, 20m wide and 10m high. The air conditioning units for the building can refresh the building at the rate of 5,000m^{3} per hour. The building manager wants all of the air in the building to be refreshed each hour.

How many air conditioning units should he buy?

Answer: 4

The volume of a cuboid is length x width x height

V = 80 x 20 x 10 = 16000m^{3}

The ac units refresh at 5000m^{3} per hour

16000 รท 5000 = 3.2; he will need 4 units.

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