GCSE · Perimeter, area & volume

Surface area of prisms, cylinders, cones & spheresExam-style questions

Surface area as the area of the unfolded net — counting a prism's faces without missing any, why a cylinder's curved surface is 2πrh, cones and the slant height, spheres, and the hemisphere trap.

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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    A solid cylinder has radius 3.53.5 cm and height 1212 cm.

    Work out the total surface area of the cylinder.

    Give your answer correct to 3 significant figures. (4 marks)
    Level 3 · 4 marksTry it
  2. 2
    The diagram shows the net of a cube.The total area of the net is 294294 cm²

    Work out the volume of the cube.

    (4 marks)
    Level 3 · 4 marksTry it
  3. 3
    The diagram shows a triangular prism. The cross-section is a right-angled triangle with sides 66 cm, 88 cm and 1010 cm. The prism is 1111 cm long.8 cm10 cm6 cm11 cmDiagram NOT accurately drawn

    Work out the total surface area of the prism.
    Level 3 · 4 marksTry it
  4. 4
    A closed cylinder has radius 44 cm and height 99 cm.

    Work out the total surface area of the cylinder. Give your answer correct to 3 significant figures.
    Level 3 · 3 marksTry it
  5. 5
    A cuboid measures 88 cm by 55 cm by 33 cm.

    Work out the total surface area of the cuboid.
    Level 3 · 3 marksTry it

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