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Volume Conversions and Percentages
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Volume Conversions and Percentages
Convert between cubic centimetres, millilitres and litres, then use your conversions to solve percentage and ratio problems. Show your working where asked.
Convert and compare
Use 1 cm³ = 1 mL and 1 L = 1,000 mL.
1.Three rainwater tanks contain 1,650,000 cm³, 1.9 L and 2,250 mL. Convert each amount to litres, then list the tanks from greatest volume to least.
2.A drum contains 3.6 L and a bucket contains 2.4 L. What is the percentage increase from the bucket's volume to the drum's volume?
3.A small container holds 1.5 L and a large container holds 6 L. Write the ratio of the small container's volume to the large container's volume in simplest form.
Apply percentages to volume
Remember to express all volumes in compatible units before calculating.
4.A storage tank has a capacity of 0.9 m³ and currently holds 540 L. What percentage of its capacity is filled?
- 6%
- 60%
- 66.7%
- 90%
5.Three drink dispensers have the following capacities: P is 1,400 cm³, Q is 1.2 L and R is 1,750 mL. Dispenser P is 85% full, Q is 90% full and R is 70% full. Which dispenser currently contains the greatest volume? Show the volume in millilitres for each.
6.A smoothie recipe uses 320 mL of yoghurt. The recipe is scaled up by 25%. How much yoghurt is needed altogether, in cm³?
7.Explain why 1 mL has the same volume as 1 cm³, and state how many cubic centimetres are in 1 L.
8.Bottle A contains 500 mL and costs NZ$2.10. Bottle B contains 0.8 L and costs NZ$3.20. Calculate the price per 100 mL for each bottle, then say which is better value.
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