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Volume and Capacity Formulas

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Volume and Capacity Formulas

Volume and Capacity Formulas

3D shapes and containers illustration

📐 Part 1: Volume Formulas

1. Complete the volume formulas by filling in the blanks:

Cube: V = _______

Rectangular Prism: V = _____ × _____ × _____

Cylinder: V = _____ × r² × _____

2. What does each variable represent? Match the variable to its meaning:
1. a
2. l
3. w
4. h
5. r
A. Height
B. Width
C. Length
D. Side length of cube
E. Radius

🧮 Part 2: Calculating Volume

3. Calculate the volume of a cube with side length 6 cm.

Answer: _______ cm³

4. Find the volume of a rectangular prism with length = 10 cm, width = 4 cm, height = 5 cm.

Answer: _______ cm³

5. Calculate the volume of a cylinder with radius = 3 cm and height = 8 cm. (Use π ≈ 3.14)

Answer: _______ cm³

📏 Part 3: Units and Conversions

6. Circle the most appropriate unit for measuring each volume:

Volume of a juice box:

cm³

litres

Volume of a swimming pool:

cm³

millilitres

7. Complete the conversion: 1,000 cm³ = _______ litre
8. Convert 2.5 litres to cm³: _______ cm³

🏠 Part 4: Real-World Applications

9. A cereal box measures 25 cm long, 8 cm wide, and 30 cm high. What is its volume?

Answer: _______ cm³ = _______ litres

10. Which container holds more? Show your working.

Container A: Cube with side length 12 cm

Container B: Cylinder with radius 6 cm and height 10 cm (Use π ≈ 3.14)

Container _____ holds more by _______ cm³

🔍 Part 5: Home Investigation Task

11. Find two containers at home and measure their dimensions. Calculate their volumes.

Container 1: _________________________

Shape: _________________ Dimensions: _________________________

Volume: _______ cm³

Container 2: _________________________

Shape: _________________ Dimensions: _________________________

Volume: _______ cm³

12. Reflection: Where might these volume calculation skills be useful in real life?

🎯 Part 6: Challenge Questions

13. A cylindrical water tank has a volume of 1,000 litres and a height of 2 metres. What is its radius? (1 m³ = 1,000 litres)

Radius: _______ metres

14. Check all the statements that are true about volume and capacity:

Volume measures the space inside a 3D shape

Capacity is how much a container can hold

Volume is always measured in litres

1 cm³ = 1 millilitre

A cube and rectangular prism can have the same volume

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