Density Practice Problems
Answer all questions using the correct units. Round to the nearest thousandth.
1.
A cube of gold (Au) has a side length of 1.55 cm. If the sample is found to have a mass of 71.9 g, find the density of the cube of Au.
2.
The density of silver (Ag) is 10.5 g/cm 3 . Find the mass of Ag that occupies 96 cm 3 of space.
3.
What is the density of a board whose dimensions are 5.54 cm by 10.6 cm by 199 cm and whose mass is 28.6 kg?
4.
CaCl
2 is used as a de-icer on roads in the winter. It has a density of 2.5 g/cm 3 . What is the mass of 65 cm 3 of this salt?
5.
The density of paper is 1.20 g/cm 3 . What is the mass of the paper in a notebook that is 76 mm thick, 215.9 mm wide, and 279.4 mm long?
6.
An irregularly-shaped sample of aluminum (Al) is put on a balance and found to have a mass of 43.6 g. The student decides to use the water-displacement method to find the volume. The initial volume reading is 25.5 mL and after the Al sample is added, the water level rises to 41.7 mL. Find the density of the Al sample.
7.
The density of apple juice is 1349.6 g/L. If you have a cup of apple juice with the mass of 87 g and the mass of the empty cup is 6 g, what is the volume of apple juice is there in the cup in mL?
8.
Calculate the volume of an object that has a mass of 104,000 g and a density of 32.5 kg/m 3 .

9.
The volume of the aquarium in a classroom is 1890 L. The density of seawater is 1.03 g/cm 3 . What is the mass in kg of the water in the tank?
10.
What is the volume in L of a tank that can hold 18.754 kg of methanol (which has a density of 0.788g/cm 3 )?
11.
A rock has a density of 17 g/cc. If it is cut into 3 equal size pieces, what will be the density of each piece?
12.
You decide you want to carry a stone cube home from the beach. It is 30 cm on each side, and so has a volume of 27,000 cm 3 . It is made of granite, which has a typical density of 2.8 g/cm 3 . How much will this boulder weigh?
Weight (aka force) = M •g g (on Earth) = 9.8 m/s 2
13.
A teacher finds a small sphere of metal in a closet. The sphere has a diameter of 6 cm, and is very light. It only has a mass of 101.79 g. The teacher wants to know if it is aluminum (density 2.7 g/cm 3 ) or magnesium (density
1.79 g/cm 3 ) Which is it?

3
14.
Mr. Lerner wants to bulk up his muscle mass. His health club can do an evaluation of his percent body muscle based on his density. Muscle is more dense than fat, so based on the chart information did he succeed in increasing his muscle mass determined by a higher body density? What was his density before? What is his density after? What is the difference from before to after?
Volume (L) Mass (kg) Density
Before training 118 L 80 kg
After training 108 L 87 kg