ESAT Maths 1 · free worked solution

ESAT Maths 1 density: keep the units straight

Density and unit conversion, showing why 540 g divided by 200 cm³ gives 2.7 g cm⁻³.

Density and unitsSpecification M1.1Reviewed 5 August 2026

Answer first

Option A

The correct answer is

2.7 g cm−32.7\,\text{g cm}^{-3}

Density is mass divided by volume, so keep the mass and volume units visible while you calculate.

This is original UniGenius practice material from the reviewed Maths 1 bank. It is not an official UAT-UK question, past paper, or recalled question.

The question

Read the setup, then choose the shortest valid route

A metal sample has mass 540 g540\,\text{g} and volume 200 cm3200\,\text{cm}^3. What is its density?

  • A2.7 g cm−32.7\,\text{g cm}^{-3}Answer
  • B0.37 g cm−30.37\,\text{g cm}^{-3}
  • C27 g cm−327\,\text{g cm}^{-3}
  • D108 g cm−3108\,\text{g cm}^{-3}
  • E740 g cm−3740\,\text{g cm}^{-3}

Worked solution

The route in 2 steps

  1. Density is mass divided by volume: ρ=540/200\rho=540/200.

  2. Therefore ρ=2.7 g cm−3\rho=2.7\,\text{g cm}^{-3}.

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