Calculating Density: Mass and Volume Relationship

The video tutorial explains the concept of density, which is the mass of a substance per unit volume. It compares the density of polystyrene and granite, demonstrating that granite is denser. The formula for calculating density is introduced, using the Greek letter rho to represent density, mass in kilograms, and volume in cubic meters. The tutorial provides examples, including calculating the density of brown sugar, the mass of an oak tree, and the volume of water, to illustrate the application of the density formula.

Which material has a greater mass per unit volume, polystyrene or granite?

• Granite

• It depends on the temperature

• Both have the same mass

• Polystyrene

What does the symbol 'rho' (ρ) represent in the density formula?

• Temperature

• Density

• Volume

• Mass

If a substance has a mass of 1 kilogram and a volume of 1 cubic meter, what is its density?

• 1 kilogram per cubic meter

• 0.1 kilograms per cubic meter

• 10 kilograms per cubic meter

• 100 kilograms per cubic meter

How do you calculate the density of a substance?

• Multiply mass by volume

• Divide mass by volume

• Add mass and volume

• Subtract volume from mass

What is the density of brown sugar if its mass is 3,605 kilograms and its volume is 5 cubic meters?

• 1000 kilograms per cubic meter

• 500 kilograms per cubic meter

• 721 kilograms per cubic meter

• 600 kilograms per cubic meter

Given the density of oak is 740 kg/m³ and its volume is 240 m³, what is the mass of the oak tree?

• 177,600 kilograms

• 74,000 kilograms

• 100,000 kilograms

• 240,000 kilograms

If water has a density of 1000 kg/m³, what is the volume of water with a mass of 250 kilograms?

• 25 cubic meters

• 2.5 cubic meters

• 0.25 cubic meters

• 0.5 cubic meters