GCSE Maths, Unit 18, Lesson 2 of 5

Density and pressure

About 1 min to read, then 7 practice questions

Density and pressure

density = mass ÷ volume
pressure = force ÷ area

A 300 g block with volume 120 cm³ has density 300 ÷ 120 = 2.5 g/cm³. A 600 N crate on 0.2 m² presses with 600 ÷ 0.2 = 3000 N/m². A smaller area gives a bigger pressure.

Mixtures and units

To mix two liquids, find the total mass and the total volume first: densities do not average.

Area units square: 1 m² = 100 × 100 = 10,000 cm². So 3 N/cm² = 30,000 N/m². And 1 g/cm³ = 1000 kg/m³.

Practise this: 7 questions, about 9 min

Answering from memory soon after reading is what makes it stick, so now is a good time.

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