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Measuring Volume and Area

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Measuring Volume and Area

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📚 Part 1: Quick Checks

WALT: Understand and calculate volume of rectangular prisms (cm³) and area of flat surfaces (cm², m²).

Success criteria: I can calculate volume using length × width × height and choose appropriate units for area and volume.

Differentiation: Use centicubes or a ruler to support calculations; extra challenge: convert between units and solve multi-step problems.

Extension: Design a composite prism and calculate its total volume in cm³.

1. What is the volume of a rectangular box that measures 10 cm by 4 cm by 3 cm?

120 cm³

120 cm²

70 cm³

2. Which unit is most appropriate to measure the area of a classroom floor?

cm²

litres

cm³

3. Box A is 6 cm × 5 cm × 4 cm. Box B is 8 cm × 3 cm × 5 cm. Which holds more 1 cm³ cubes?

Box A

Box B

They hold the same number

4. Check all that apply: Which are units for measuring area?

cm²

km³

cm³

✏️ Part 2: Short Answers & Problem Solving

5. Estimate then calculate: A small box is 12 cm long, 6 cm wide and 2 cm high. How many 1 cm³ cubes fit inside?
6. A garden bed is 4 m by 2.5 m. What is its area in m²? Convert your answer to cm².
7. Floor tiles are square, 30 cm on a side. How many whole tiles are needed to cover a rectangular floor 4 m by 3 m? Show your working and give the minimum number of whole tiles.
8. Explain in one or two sentences: Why is volume measured in cubic units (cm³) and area in square units (cm²)?

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