GCSE · Compound units & rates

Density and pressureExam-style questions

Why density is mass packed into one unit of volume and pressure is force spread over one unit of area, how to rearrange both formulas by sense rather than by triangle, and why a mixture's density is never the average of the two densities.

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19 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    The density of aluminium is 2.7 g/cm³. A solid aluminium block has volume 250 cm³. Work out the mass of the block, in grams.
    Level 3 · 2 marksTry it
  2. 2
    Gold has a density of 19.3 g/cm³. A gold bar has mass 579 g. Work out the volume of the bar, in cm³.
    Level 3 · 2 marksTry it
  3. 3
    A solid metal cuboid measures 88 cm by 55 cm by 44 cm. Its mass is 1.281.28 kg.

    (a) Work out the volume of the cuboid.

    (b) Work out the density of the metal in g/cm³.
    Level 3 · 3 marksTry it
  4. 4
    A box exerts a force of 600600 N on the ground. The area of the base of the box is 0.40.4 m2^2.

    (a) Work out the pressure exerted, in N/m2^2. [2]

    (b) Convert your answer to N/cm2^2. [2]
    Level 3 · 4 marksTry it
  5. 5
    A stone pillar is a prism.

    The pillar stands on one of its ends on horizontal ground.pressure=forcearea\text{pressure} = \frac{\text{force}}{\text{area}}

    The volume of the pillar is 54 00054\,000 cm³

    The pillar presses on the ground with a force of 13501350 newtons.

    The pressure on the ground is 33 newtons/cm²

    Work out the height of the pillar.

    (3 marks)
    Level 3 · 3 marksTry it

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