What Is Volume?

🎯 What Will We Learn Today?

How much space does a 3D object take up? That's volume! Today we'll learn what volume is and how to calculate it.

📚 What Is Volume?

Volume is the amount of space inside a 3D object. It tells us how much a container can hold. We measure volume in cubic units — like cubic centimeters (cm³) or cubic inches (in³).

Think of filling a box with cubes. The number of cubes that fit inside is the volume!

📐 Volume of a Rectangular Prism

Volume = Length × Width × Height → V = L × W × H

All three dimensions multiplied together!

🎮 Let's Calculate!

Example 1: A box is 5 cm long, 3 cm wide, and 4 cm tall.

V = 5 × 3 × 4 = 60 cubic cm (60 cm³)

Example 2: A fish tank is 60 cm long, 30 cm wide, and 40 cm high. How much water can it hold?

V = 60 × 30 × 40 = 72,000 cm³ = 72 liters!

Example 3: A cube has side length 3 inches. What is its volume?

V = 3 × 3 × 3 = 27 cubic inches

🔍 Area vs. Volume

| | Area | Volume |
|---|------|--------|
| Dimensions | 2D (flat) | 3D (solid) |
| Units | Square (cm²) | Cubic (cm³) |
| Formula (box) | L × W | L × W × H |

Area covers the floor. Volume fills the room!