Volume, density and mass - 1.03-1.04

What is volume?

The quantity of space an object takes up

Is lead heavier than water? (Hint: density)

Not necessarily. It depends on the volume of lead and water being compared. However, lead is more dense than water: it has more kilograms packed into every cubic metre.

How is the density of a material calculated?

Density = mass : volume

How is the volume of a material calculated?

Volume = mass : density

How is the mass of a material calculated?

Mass = volume · density

How many cm3 are there in 1 m3?

1 m · 1 m · 1m
Can be written as:
100 cm · 100 cm · 100 cm = 1.000.000 cm3

How many cm3 are there in 1 litre?

1 litre (L) = 1000 cm3
1 litre (L) = 100 ml

How many litres are there in 1 m3?

1 m3 = 1000 litres

How many ml are there in 1 m3?

1 m3 = 1000 litres -> 1000 · 1000 = 1.000.000 ml
Check:
1.000.000 (cm3 in 1 m3) : 1000 (cm3 in litres)
= 1000 (litre in 1 m3) · 1000 (ml in 1 litre) = 1.000.000 ml

If a mass is measured in grams, and volumes in cubic centimetres, it is easier to calculate densities in g/cm3. How do you convert kg/m3?

1 g/cm3 = 1000 kg

What is the density of water

roughly 1 g/cm3
Precisely 997 kg/m3