Volume
What Is Volume?
Volume tells us how much space something takes up.
Imagine a box of crayons. The space inside the box is its volume.
We measure volume in cubic units, like Cubic Centimeters (Cm³) or Cubic Meters (M³).
How to Find Volume
For simple shapes we use easy formulas.
| Shape | Formula | What to Measure |
|---|---|---|
| Cube | side × side × side | length of one side |
| Rectangular prism (box) | length × width × height | three edges that meet at a corner |
| Cylinder | π × radius² × height | radius of the base and the height |
Example: A rectangular box is 4 cm long, 3 cm wide, and 2 cm high.
Volume = 4 × 3 × 2 = 24 Cm³.
Fun Volume Facts
- Water fills exactly the same volume as the container it’s in. That’s why a 1‑liter bottle holds 1 000 cm³ of water.
- The biggest animal on Earth, the blue whale, can hold about 1,500 M³ of water in its body!
- When you bake a cake, the batter rises and its volume gets bigger because of air bubbles.
Quick Check
- A cube has sides of 5 cm. What is its volume?
- A cylinder is 3 cm wide (radius = 1.5 cm) and 10 cm tall. Find its volume (use 3.14 for π).
Try these problems and see how volume helps you understand the world around you!