Practice Density in Chemistry

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The mass of a substance per unit volume. A measure of how tightly packed the particles are.

Density answers 'how heavy is this for its size?' A small lead ball is heavier than a large foam ball — lead is denser.

Example 1

easy
A block of aluminum has a mass of 135 g and a volume of 50.0\,\text{cm}^3. Calculate its density.

Example 2

medium
A piece of metal has a mass of 78.0 g. When placed in a graduated cylinder containing 25.0\,\text{mL} of water, the water level rises to 35.0\,\text{mL}. Calculate the density and identify the metal if possible. (Iron = 7.87\,\text{g/cm}^3, Copper = 8.96\,\text{g/cm}^3, Zinc = 7.13\,\text{g/cm}^3)

Example 3

easy
Will an object with density 0.85\,\text{g/cm}^3 float or sink in water (\rho = 1.00\,\text{g/cm}^3)?

Example 4

hard
A solid cube has a side length of 3.0 \text{ cm} and a mass of 81 \text{ g}. Calculate its density. If the cube is cut in half, what is the density of each piece? Explain.
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