Question Video: Calculating the Volume and Density of an Object Mathematics

A cube has a side length of 0.15 m. If the mass of the cube is 3 kg, what is its density? Give your answer approximated to one decimal place if required.

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Video Transcript

A cube has a side length of 0.15 meters. If the mass of the cube is three kilograms, what is its density? Give your answer approximated to one decimal place if required.

Let’s begin by considering a cube which has side length 0.15 meters. The volume of any cube can be calculated by cubing the side length. In this question, we need to cube 0.15. This is equal to 0.003375. We also know that if the side length is in meters, the volume will be in cubic meters.

We have been asked to calculate the density of the cube. And we know that density is equal to mass divided by volume. As the mass is equal to three kilograms, the density will be equal to three divided by 0.003375. Typing this into the calculator gives us an answer of 888.8 recurring. We need to round this answer to one decimal place. The density of the cube is therefore equal to 888.9.

As our units for mass were kilograms and the units for the volume of the cube were cubic meters, then the units for density will be kilograms per cubic meter. The density of a cube with side length 0.15 meters and a mass of three kilograms is 888.9 kilograms per cubic meter.

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