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GCSE density calculations

Find density from dimensions, water displacement or liquid measurements; convert density units.

Practise

Mass from density

A material has density 2700 kg m⁻³. Find the mass of 10 cm³ of it in kg. Give your answer to 3 significant figures.

Treat the given values as exact unless an uncertainty is stated.

Use decimals or e notation, e.g. 4.2e-3. Enter the unit separately.

Hint

Use m = ρV with volume in m³.

Worked solution
  1. m = 2700 × 0.00001 kg.
  2. Answer: 0.0270 kg (3 significant figures).
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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.

AQA specification · OCR Gateway specification