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 cuboid measures $4$ cm by $3$ cm by $5$ cm. Work out its volume.
Level 1 · 1 markTry it
2
A cube has edges of length $3$ cm. Work out its volume.
Level 1 · 1 markTry it
3
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
4
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
5
A solid hemisphere has radius $4.5$ cm.

Volume of a sphere $= \dfrac43\pi r^3 \qquad$ Surface area of a sphere $= 4\pi r^2$

(a) Work out the volume of the hemisphere. Give your answer correct to 3 significant figures. (2 marks)

(b) Work out the total surface area of the hemisphere. Give your answer correct to 3 significant figures. (2 marks)
Level 3 · 4 marksTry it

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