Cavalieri's Principle and Density

Front

What is density?

Back

Density is a measure of mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³).

Front

How do you calculate density?

Back

Density = Mass / Volume.

Front

What is Cavalieri's Principle?

Back

Cavalieri's Principle states that if two solids have the same height and the same cross-sectional area at every level, they have the same volume.

Front

What is the formula to find the volume of an object given its mass and density?

Back

Volume = Mass / Density.

Front

If an object has a mass of 10g and a density of 2g/cm³, what is its volume?

Back

5 cm³.

Front

What is the relationship between mass, volume, and density?

Back

Mass is directly proportional to density and volume; as one increases, the others may change depending on the context.

Front

If the density of water is 1 g/cm³, what is the density of an object that sinks in water?

Back

The density of the object is greater than 1 g/cm³.

Front

What happens to the density of a substance if its mass increases while its volume remains constant?

Back

The density increases.

Front

What is the density of a substance with a mass of 50g and a volume of 10cm³?

Back

5 g/cm³.

Front

If two objects have the same volume but different masses, what can be said about their densities?

Back

The object with the greater mass has a higher density.