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Volume of 3D Shapes
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Volume of 3D Shapes
📚 Part 1: Understanding Volume
1. What is volume?
The distance around a shape
The amount of space inside a 3D shape
The surface covering a shape
The height of a shape
2. Which units are used to measure volume? (Check all that apply)
cm³
m²
m³
mm
3. Match each shape to its volume formula:
Cube
Rectangular Prism
Cylinder
V = π × r² × h
V = side³
V = length × width × height
🔢 Part 2: Calculate Volume
4. Calculate the volume of a cube with sides of 5 cm.
Volume = _________ cm³
5. Find the volume of a rectangular prism: length = 8 m, width = 3 m, height = 4 m.
Volume = _________ m³
6. Calculate the volume of a cylinder with radius = 6 cm and height = 10 cm. (Use π = 3.14)
Volume = _________ cm³
7. A storage box measures 50 cm × 30 cm × 20 cm. How much space is inside the box?
Volume = _________ cm³
🎯 Part 3: Problem Solving & Extension
8. Challenge: A cylindrical water tank has a diameter of 4 metres and a height of 3 metres. Calculate its volume in cubic metres. (Remember: radius = diameter ÷ 2)
Volume = _________ m³
9. Real-world Application: Explain how understanding volume would be useful when packing boxes for moving house.
10. Extension: If you double all the dimensions of a cube, how does this affect its volume? Explain your reasoning with an example.
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