GCSE Physics equations practice
Select a relationship from the equation sheet, rearrange it and calculate with the right units.
GCSE density calculations
Find density from dimensions, water displacement or liquid measurements; convert density units.
Practise
Density from mass and volumeAn object has mass 0.012 kg and volume 10 cm³. Calculate its density in kg m⁻³. Give your answer to 3 significant figures.
Treat the given values as exact unless an uncertainty is stated.
Hint
Convert cm³ to m³, then divide mass by volume.
Worked solution
- V = 0.00001 m³.
- ρ = 0.012 / 0.00001 kg m⁻³.
- Answer: 1.20 × 103 kg m⁻³ (3 significant figures).
Question type: Mixed practice
Report a problem
Foundation and Higher: this set covers content common to both tiers. Some calculations need several steps.
Mass and volume
Density is mass divided by volume. Use kg with m³ for kg m⁻³, or g with cm³ for g cm⁻³. A liquid’s mass excludes its container. For displacement, subtract the initial reading from the final reading. At constant mass an increase in volume reduces density. These questions use exact supplied readings; experimental uncertainty is discussed in the density practical guide.
Work through the practical method and sample results
GCSE scope
AQA 8463: 4.3.1.1; required practical 5 (selected); OCR Gateway J249: P1.1d–f; PM1.1i; PAG P1 (selected). Tasks cover the selected skills listed above.