Area, Volume, Surface Areas

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📐 Part 1: Area and Surface Area Calculations

1. A rectangular swimming pool has a length of 12 metres and width of 8 metres. What is its area?

Answer: _________ m²

2. Calculate the surface area of a cube with side length 5 cm. Show your working.

Answer: _________ cm²

3. A cylindrical water tank has a radius of 3 metres and height of 4 metres. What is its total surface area? (Use π = 3.14)

Answer: _________ m²

4. Which shape would require more wrapping paper?

A cube with side length 6 cm

A rectangular prism 4 cm × 5 cm × 8 cm

They require the same amount

5. A shipping container is 6 metres long, 2.5 metres wide, and 2.5 metres high. What is its volume?

Answer: _________ m³

6. A spherical balloon has a radius of 15 cm. Calculate its volume. (Use π = 3.14 and V = 4/3 πr³)

Answer: _________ cm³

7. Which container holds more water?

Cylinder: radius 4 cm, height 10 cm

Rectangular prism: 8 cm × 8 cm × 6 cm

They hold the same amount

8. A paint tin contains 4 litres of paint. Each litre covers 12 m² of wall surface. How much wall area can be painted with the entire tin?

9. Explain why understanding surface area is important when:

a) Buying carpet for a room: _________________________________

b) Calculating paint needed for a house: _______________________

c) Wrapping a gift: ________________________________________

10. A concrete pathway is 50 metres long, 1.5 metres wide, and 10 cm thick. Calculate the volume of concrete needed in cubic metres.

Answer: _________ m³