Exploring Density in Science

A block of metal has a mass of 540 grams and a volume of 200 cm³. Calculate the density of the metal and determine which of the following materials it could be, given the densities: Aluminum (2.7 g/cm³), Copper (8.96 g/cm³), and Iron (7.87 g/cm³).

• Aluminum

• Copper

• Iron

• None of the above

A scientist is studying a new material and finds that a sample with a mass of 1500 grams displaces 500 cm³ of water. What is the density of the material, and how does it compare to the density of water (1 g/cm³)?

• The material is less dense than water.

• The material is equally dense as water.

• The material is more dense than water.

• Cannot be determined from the given information.

In a laboratory experiment, a student needs to identify an unknown liquid. The liquid has a mass of 250 grams and occupies a volume of 300 mL. Which of the following liquids could it be, based on their densities: Ethanol (0.789 g/mL), Glycerin (1.26 g/mL), or Water (1 g/mL)?

• Ethanol

• Glycerin

• Water

• None of the above

A geologist finds a rock sample with a mass of 2 kg and a volume of 0.5 liters. Calculate the density of the rock and determine if it would float or sink in mercury, which has a density of 13.6 g/cm³.

• The rock will float in mercury.

• The rock will sink in mercury.

• The rock will neither float nor sink.

• Cannot be determined from the given information.

A cube of side 10 cm is made of a material with a density of 5 g/cm³. If the cube is cut into two equal halves, what will be the density of each half?

• 2.5 g/cm³

• 5 g/cm³

• 10 g/cm³

• 20 g/cm³

A ship is designed to carry a maximum load of 10,000 kg. If the density of seawater is 1.025 g/cm³, what is the maximum volume of water the ship can displace without sinking?

• 9,756,097 cm³

• 10,000,000 cm³

• 10,256,410 cm³

• 10,512,820 cm³

A balloon filled with helium has a volume of 500 liters. If the density of helium is 0.1785 g/L, calculate the mass of helium in the balloon and determine if it can lift a payload of 1 kg, considering the density of air is 1.225 g/L.

• The balloon can lift the payload.

• The balloon cannot lift the payload.

• The balloon can lift more than the payload.

• Cannot be determined from the given information.

A scientist is designing a new type of buoy that must remain partially submerged in freshwater. If the buoy has a mass of 3 kg and a volume of 5 liters, what fraction of the buoy will be submerged when placed in water?

• Fully submerged