Question Video: Finding the Mass of an Object Given Its Density and Volume Mathematics

The density of aluminium is 8,000 kg/m³. Find the volume of a 100 kg block of aluminium.


Video Transcript

The density of aluminium is 8,000 kilograms per cubic meter. Find the volume of a 100-kilogram block of aluminium.

We know that the density of any object is equal to its mass divided by its volume. The link between density, mass, and volume can also be demonstrated in the triangle shown. In order to calculate the volume of an object, we divide its mass by its density. If the mass is measured in kilograms and the density in kilograms per cubic meter, then the units for volume will be cubic meters.

In this question, the mass of the block of aluminium is 100 kilograms and the density is 8,000 kilograms per meter cubed. We can divide the numerator and denominator by 100. This means that the volume of our 100-kilogram block of aluminium is one eightieth of a cubic meter.

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