GCSE · Perimeter, area & volume

Volume of prisms, cylinders, cones & spheresExam-style questions

Why a prism's volume is cross-section × length, why a cylinder is just a circular prism, where the ⅓ in pyramid and cone formulas fits in, spheres and hemispheres, and litres.

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

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
A box is a cuboid measuring $40$ cm by $25$ cm by $30$ cm.

(a) Work out the volume of the box in m $^3$ . [2]

Packets of rice are cuboids of volume $250$ cm $^3$ .

(b) Work out the greatest number of packets that could fit in the box, by volume. [2]
Level 2 · 4 marksTry it
2
A cylinder has radius $2$ cm and height $5$ cm. Work out its volume. Give your answer to 1 decimal place.
Level 2 · 2 marksTry it