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Year 8 Measurement Answers

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Year 8 Measurement Answers worksheet preview

Year 8 Measurement Answers

Measurement tools illustration

📏 Part 1: Multiple Choice Answers

1. What is 2.5 kilometres in metres?

250 m

2500 m ✓

25,000 m

0.25 m

2. Which measurement is most appropriate for the height of a door?

2 km

2 m ✓

2 cm

2 mm

3. The area of a rectangle with length 8 cm and width 5 cm is:

13 cm²

26 cm²

40 cm² ✓

80 cm²

4. Which units could be used to measure volume? (Select all that apply)

Litres ✓

Cubic centimetres ✓

Square metres

Millilitres ✓

✏️ Part 2: Short Answer Solutions

5. Convert 3.2 kg to grams. Show your working.

Answer: 3200 g

Working: 3.2 kg × 1000 = 3200 g

Explanation: To convert kg to g, multiply by 1000

6. Calculate the perimeter of a triangle with sides 7 cm, 9 cm, and 12 cm.

Answer: 28 cm

Working: Perimeter = 7 + 9 + 12 = 28 cm

Explanation: Perimeter is the sum of all side lengths

7. A rectangular garden bed is 4.5 m long and 2.8 m wide. Calculate its area in square metres.

Answer: 12.6 m²

Working: Area = length × width = 4.5 × 2.8 = 12.6 m²

Explanation: Area of rectangle = l × w

8. Explain why we use different units for different measurements. Give two examples.

Sample Answer: We use different units because measurements vary greatly in size. Using appropriate units makes numbers easier to work with and understand. For example:

• We measure the distance between cities in kilometres rather than centimetres because the numbers would be too large

• We measure the thickness of paper in millimetres rather than metres because it would give very small decimal numbers

🧮 Part 3: Problem Solving Solutions

9. Sarah is making cordial. She mixes 250 mL of cordial concentrate with 1.5 L of water. What is the total volume in litres?

Answer: 1.75 L

Working:

Convert 250 mL to litres: 250 ÷ 1000 = 0.25 L

Total volume = 0.25 L + 1.5 L = 1.75 L

Explanation: Convert to same units first, then add

10. A swimming pool is 25 m long, 10 m wide, and 1.5 m deep. Calculate the volume of water it can hold in cubic metres.

Answer: 375 m³

Working:

Volume = length × width × height

Volume = 25 × 10 × 1.5 = 375 m³

Explanation: Volume of rectangular prism = l × w × h

11. Estimate and then calculate the area of your classroom. Explain your method and reasoning.

Sample Answer:

Estimate: Approximately 60 m² (reasonable classroom size)

Method: Measure length and width using metre rulers or measuring tape

Example calculation: If length = 8 m and width = 7.5 m, then Area = 8 × 7.5 = 60 m²

Reasoning: Classrooms are typically rectangular, so we use Area = length × width formula

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