Solving Density Problems and Formulas

This video tutorial covers various density problems, including calculating the density of rocks and metal bars, using water displacement to find density, determining if objects will sink or float, and calculating volume changes in a graduated cylinder. The tutorial also explains how to find the height of an aluminum bar using its density.

What is the density of a rock with a mass of 50 g and a volume of 8.5 ml?

• 8.33 g/ml

• 5.88 g/ml

• 6.25 g/ml

• 7.14 g/ml

If a metal bar has a density of 7.9 g/ml and a volume of 500 ml, what is its mass in grams?

• 4,000 g

• 3,500 g

• 4,500 g

• 3,950 g

What is the volume of a rectangular metal bar with dimensions 6 cm by 8 cm by 9 cm?

• 432 cubic cm

• 450 cubic cm

• 480 cubic cm

• 400 cubic cm

How do you convert grams per milliliter to kilograms per cubic meter?

• Multiply by 1000

• Divide by 1000

• Multiply by 100

• Divide by 100

What is the density of a rock with a mass of 25 g and a volume of 3.1 ml?

• 9.15 g/ml

• 7.25 g/ml

• 8.06 g/ml

• 6.45 g/ml

Will a spherical ball with a density of 2.29 g/ml sink or float in pure water?

• Both

• Neither

• Float

• Sink

What is the new volume level in a graduated cylinder if an 8.5 karat diamond is added to 54.3 ml of water?

• 55.3 ml

• 54.8 ml

• 55.0 ml

• 54.5 ml

What is the mass of an 8.5 karat diamond if 1 karat is equal to 0.2 grams?

• 1.7 g

• 1.5 g

• 2.0 g

• 1.9 g

What is the height of an aluminum bar with a volume of 400 cubic cm, length of 8 cm, and width of 5 cm?

• 10 cm

• 12 cm

• 15 cm

• 8 cm

What is the density of aluminum if a 1.08 kg bar has a volume of 400 ml?

• 2.7 g/ml

• 2.5 g/ml

• 3.0 g/ml

• 2.9 g/ml