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Volume Conversions and Percentages

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Volume Conversions and Percentages

Volume conversion illustration

🎯 WALT: Convert between volume units and calculate percentages

Success Criteria: I can accurately convert between cm³, ml, and litres, calculate percentage differences, and express volume ratios.

📊 Part 1: Volume Conversions with Percentages

1. Three swimming pools contain different amounts of water:

Pool A: 2,500,000 cm³

Pool B: 3.2 litres

Pool C: 2,800 ml

Convert all volumes to litres and list in order from greatest to least:

2. Calculate the percentage difference between Pool A and Pool C:

Percentage difference = _________________%

3. Express the ratio of Pool B to Pool A in its simplest form:

Pool B : Pool A = _________ : _________

🧮 Part 2: Advanced Volume Problems

4. A water tank holds 0.75 when full. Currently it contains 450 litres.

What percentage of the tank is full?

60%

40%

75%

50%

Show your working:

5. A laboratory has three containers:

Container X: 1,200 cm³

Container Y: 0.8 litres

Container Z: 1,500 ml

If Container X is 75% full, Container Y is 60% full, and Container Z is 80% full, which container holds the most liquid?

6. Extension Challenge: A recipe calls for 250 ml of milk. You want to increase the recipe by 40%. How many cm³ of milk do you need in total?

💭 Part 3: Explain Your Thinking

7. Explain in your own words why 1 ml = 1 cm³ but 1 litre = 1,000 cm³:
8. Real-world Application: You're comparing two drink bottles. Bottle A contains 600 ml and costs $2.40. Bottle B contains 0.75 litres and costs $3.00. Which offers better value per 100ml? Show your calculations and explain your reasoning.

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