Cavalieri's Principle and Density

Front

What is density?

Back

Density is the mass of an object divided by its volume, typically expressed in grams per cubic centimeter (g/cm³).

Front

What formula is used to calculate density?

Back

Density = Mass / Volume

Front

If an object has a mass of 30 grams and a volume of 10 cm³, what is its density?

Back

3 g/cm³

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

How do you find the volume of a rectangular prism?

Back

Volume = Length × Width × Height

Front

If a cube has a side length of 2 cm, what is its volume?

Back

8 cm³ (Volume = 2 cm × 2 cm × 2 cm)

Front

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

Back

Mass is directly proportional to density and volume; if density increases and volume remains constant, mass increases.

Front

How can you determine the mass of an object if you know its density and volume?

Back

Mass = Density × Volume

Front

If the density of a substance is 2 g/cm³, what is the mass of 4 cm³ of that substance?

Back

8 g (Mass = 2 g/cm³ × 4 cm³)

Front

What is the unit of measurement for density?

Back

The unit of measurement for density is typically grams per cubic centimeter (g/cm³).