ExpertMedium2 marksStructured
AQA GCSE · Question 08 · Ratio Proportion and Rates of Change
Some oil has
<br>
a mass of 537 g
<br>
a density of 895 000 g/m³
<br>
1 m³ = 1000 litres
<br>
Work out the volume of the oil. Give your answer in litres.
Some oil has
<br>
a mass of 537 g
<br>
a density of 895 000 g/m³
<br>
1 m³ = 1000 litres
<br>
Work out the volume of the oil. Give your answer in litres.
How to approach this question
1. Write down the formula for density: Density = Mass / Volume.
2. Rearrange the formula to make Volume the subject.
3. Substitute the given mass and density into the formula to calculate the volume. The units will be in m³.
4. Use the given conversion factor (1 m³ = 1000 litres) to convert your answer from m³ to litres.
Full Answer
**Step 1: Calculate the volume in m³.**
The formula relating density, mass, and volume is: Density = Mass / Volume.
Rearranging for Volume: Volume = Mass / Density.
Volume = 537 g / 895 000 g/m³
Volume = 0.0006 m³
**Step 2: Convert the volume from m³ to litres.**
We are given that 1 m³ = 1000 litres.
Volume in litres = 0.0006 m³ × 1000 litres/m³
Volume in litres = 0.6 litres
**Answer: 0.6 litres**
We are given the mass and density of the oil and need to find its volume.
The relationship is given by the formula: Density = Mass / Volume.
To find the volume, we rearrange the formula: Volume = Mass / Density.
The mass is 537 g.
The density is 895 000 g/m³.
Volume = 537 / 895 000
Volume = 0.0006 m³
The question asks for the answer in litres. We are given the conversion 1 m³ = 1000 litres.
To convert m³ to litres, we multiply by 1000.
Volume in litres = 0.0006 × 1000
Volume in litres = 0.6
The volume of the oil is 0.6 litres.
Common mistakes
✗ Multiplying mass and density instead of dividing.
✗ Dividing density by mass.
✗ Incorrectly converting from m³ to litres (e.g., dividing by 1000 instead of multiplying).
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