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Volume and Surface Area

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Volume and Surface Area worksheet preview

Volume and Surface Area

3D shapes including cubes, rectangular prisms and cylinders

📚 Part 1: Understanding Volume and Surface Area

1. Which unit would you use to measure volume?

cm² (square centimetres)

cm³ (cubic centimetres)

cm (centimetres)

m (metres)

2. Which unit would you use to measure surface area?

cm² (square centimetres)

cm³ (cubic centimetres)

cm (centimetres)

kg (kilograms)

3. A cube has 8 small unit cubes inside it. What is its volume?

8 cm

8 cm²

8 cm³

8 faces

4. To find the volume of a rectangular prism, which formula do we use?

length + width + height

length × width × height

length × width

2 × (length + width)

🔢 Part 2: Calculating Volume and Surface Area

5. Calculate the volume of a cube with sides of 3 cm. Show your working.

Volume = _______ cm³

6. A rectangular prism has length = 4 cm, width = 2 cm, height = 3 cm. Calculate its volume.

Volume = _______ cm³

7. Find the surface area of a cube with sides of 2 cm. (Remember: a cube has 6 faces)

Surface area = _______ cm²

8. A fish tank is shaped like a rectangular prism. It is 50 cm long, 30 cm wide, and 40 cm tall. How much water can it hold?

The fish tank can hold _______ cm³ of water.

🎯 Part 3: Problem Solving

9. Sarah wants to wrap a gift box that is 10 cm long, 8 cm wide, and 5 cm tall. How much wrapping paper does she need to cover all faces of the box?

Sarah needs _______ cm² of wrapping paper.

10. Explain in your own words: What is the difference between volume and surface area?
11. Draw a rectangular prism and label its length, width, and height. Then write the formula for finding its volume.

Formula: Volume = _________________

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