Question

A cube of copper was found to have a mass of 645 g. What are the dimensions of the cube? (The density of copper is 8.96 g/cm3.) Answer in cm using 2 decimal places.

Note that this question is NOT asking you to answer with volume, but you will need to find volume first.

8.94

Answer 1

Mass of a cube of copper = 645 g

Density of copper = 8.96 g/cm3

Density of a substance is the mass of that substance per unit volume. i.e.

Density = Mass/Volume

Volume of the copper cube = Mass * Density

= 645 g * 8.96 g/cm3 = 5779.2 cm3

Now, if the length of the side of a cube is 'a' cm, then its volume (V) is :

`V = a^(3)`

`a = \sqrt[3]{V}` =
`\sqrt[3]{5779.2}` = 17.89 cm