Density Challenges: Solve Equations & Interpret Graphs

A block of wood has a mass of 300 grams and a volume of 150 cm³. What is the density of the wood?

• 1 g/cm³

• 2 g/cm³

• 3 g/cm³

• 4 g/cm³

If a substance has a density of 2.5 g/cm³ and occupies a volume of 40 cm³, what is its mass?

• 80 g

• 100 g

• 60 g

• 120 g

A container holds 500 mL of water and weighs 600 grams. If you add a rock that weighs 200 grams and has a volume of 50 cm³, what is the new density of the container with the rock?

• 1.0000 grams/mL

• 1.8000 grams/mL

• 1.4545 grams/mL

• 1.2000 grams/mL

A graph shows the density of different liquids. If liquid A has a density of 1.2 g/mL and liquid B has a density of 0.8 g/mL, which liquid is lighter and by how much?

• Liquid B is lighter by 0.4 g/mL.

• Liquid A is lighter by 0.4 g/mL.

• Liquid B is heavier by 0.4 g/mL.

• Both liquids have the same density.

A metal cube has a mass of 800 grams and a volume of 100 cm³. If you cut the cube in half, what will be the density of each half?

• 4 g/cm³

• 10 g/cm³

• 8 g/cm³

• 16 g/cm³

A density graph shows that as temperature increases, the density of a gas decreases. If the density at 20°C is 1.2 g/L, what would you expect the density to be at 40°C?

• 1.0 g/L

• 2.0 g/L

• 1.5 g/L

• 0.5 g/L

A fish tank has a total mass of 2,000 grams when filled with water. If the water has a density of 1 g/cm³, what is the volume of the water in the tank?

• 1000 cm³

• 1500 cm³

• 2000 cm³

• 2500 cm³

A student measures the density of a liquid and finds it to be 0.9 g/mL. If they pour out 100 mL of this liquid, how much mass did they remove?

• 100 g

• 90 g

• 80 g

• 50 g

A graph plots the density of various metals. If aluminum has a density of 2.7 g/cm³ and copper has a density of 8.9 g/cm³, how much denser is copper than aluminum?

• 7.0 g/cm³

• 9.2 g/cm³

• 5.5 g/cm³

• 6.2 g/cm³

A balloon filled with helium has a mass of 50 grams and a volume of 30 L. What is the density of the helium in the balloon, and how does it compare to the density of air (approximately 1.2 g/L)?

• 1.67 g/L, which is greater than the density of air (1.2 g/L).

• 1.00 g/L, which is equal to the density of air (1.2 g/L).

• 0.67 g/L, which is less than the density of air (1.2 g/L).

• 2.00 g/L, which is much greater than the density of air (1.2 g/L).