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AQA GCSE · Question 21 · Ratio Proportion and Rates of Change
Some oil has a mass of 537 g and a density of 895 000 g/m³. Given that 1 m³ = 1000 litres, work out the volume of the oil. Give your answer in litres.
Some oil has a mass of 537 g and a density of 895 000 g/m³. Given that 1 m³ = 1000 litres, work out the volume of the oil. Give your answer in litres.
How to approach this question
1. Recall the formula relating density, mass, and volume: Density = Mass / Volume.
2. Rearrange the formula to find Volume: Volume = Mass / Density.
3. Substitute the given values: Volume = 537 g / 895 000 g/m³.
4. Calculate the volume in m³: Volume = 0.0006 m³.
5. The question asks for the answer in litres. Use the conversion factor 1 m³ = 1000 litres.
6. Convert the volume to litres: 0.0006 m³ * 1000 litres/m³ = 0.6 litres.
Full Answer
0.6 litres
Step 1: Find the volume in cubic metres (m³).
The formula triangle for density, mass, and volume is:
Density = Mass / Volume
To find the volume, we rearrange the formula:
Volume = Mass / Density
Given values:
Mass = 537 g
Density = 895 000 g/m³
Volume (in m³) = 537 / 895 000
Volume = 0.0006 m³
Step 2: Convert the volume from m³ to litres.
We are given the conversion factor: 1 m³ = 1000 litres.
To convert from m³ to litres, we multiply by 1000.
Volume (in litres) = 0.0006 × 1000
Volume = 0.6 litres.
Common mistakes
✗ Using the density formula incorrectly (e.g., multiplying mass and density).
✗ Making an error in the units conversion (e.g., dividing by 1000 instead of multiplying).
✗ Forgetting to do the final conversion to litres.
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