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.
