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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 flat surface area of a shape
The height of a shape
2. Which units are used to measure volume?
cm³
m²
mm³
km
3. Match each 3D shape with its volume formula:
Cube: V = _________________
Rectangular prism: V = _________________
Cylinder: V = _________________
🔢 Part 2: Calculating Volume
4. Calculate the volume of a cube with side length 6 cm. Show your working.
Volume = ________ cm³
5. Find the volume of a rectangular prism: length = 8 m, width = 5 m, height = 3 m
Volume = ________ m³
6. Calculate the volume of a cylinder with radius = 4 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. A cylindrical water tank has a diameter of 2 metres and a height of 3 metres. Calculate its volume in cubic metres. (Remember: radius = diameter ÷ 2)
Volume = ________ m³
9. Extension: If you double all the dimensions of a cube, how does the volume change? Explain your reasoning.
10. Challenge: A composite shape is made from a rectangular prism (4m × 3m × 2m) with a cylindrical hole (radius 0.5m) drilled through its full height. Calculate the remaining volume.
Remaining volume = ________ m³
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