What is Volume? — Mathematics

Definition 43.9 Primary & Middle School Mathematics · Chapter 43 — Perimeter, Area, Volume

The volume of a solid measures the space it fills: how many unit cubes fit inside. Units: cm $^3$ , m $^3$ , … with $1$ m $^3 = 1\,000\,000$ cm $^3$ (each step of the ladder is worth $1000$ ). For liquids one also uses the liter:

1 \text{ L} = 1 \text{ dm}^3 = 1000 \text{ cm}^3, \qquad 1 \text{ m}^3 = 1000 \text{ L}.

Examples

Example 43.11

An aquarium measures $60$ cm by $30$ cm by $40$ cm (height). Volume:

V = 60 \times 30 \times 40 = 72\,000 \text{ cm}^3 = 72 \text{ dm}^3 = 72 \text{ L}.

Step by step for the conversion: $1000$ cm $^3$ make one liter, and $72\,000 \div 1000 = 72$ .

Read in context →

Examples

Related terms