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Math 9 · Unit 14: Volume, surface area and symmetry · Cambridge Lower Secondary Maths Stage 9

14.2 Calculating the surface area of triangular prisms, pyramids and cylinders

18 questions · e.g. Surface area of a square-based pyramid

Practice

Questions

  1. 1. Find the surface area of this square-based pyramid. All four triangular faces are equal in size.

    10 m8 m
    Check

  2. 2. Find the surface area of this triangular-based pyramid. All four triangular faces are equal in size.

    20 cm17 cm
    Check

  3. 3. Find the surface area of this cuboid.

    12 cm4 cm10 cm
    Check

  4. 4. Find the surface area of this triangular prism.

    24 cm13 cm5 cm8 cm
    Check

  5. 5. Find the surface area of this triangular prism.

    9 cm12 cm15 cm12.5 cm
    Check

  6. 6. Find the surface area of this cylinder, correct to 3 significant figures.

    3 cm8 cm
    Check

  7. 7. Work out the surface area of this cylinder, correct to one decimal place (1 d.p.).

    4 cm15 cm
    Check

  8. 8. Work out the surface area of this cylinder, correct to one decimal place (1 d.p.).

    2.8 cm20 cm
    Check

  9. 9. Work out the surface area of this cylinder, correct to one decimal place (1 d.p.).

    30 mm15 mm
    Check

  10. 10. The diagram shows a tetrahedron and a cylinder. Which shape has the greater surface area? In a tetrahedron, all of the triangular faces are the same size.

    16 cm14 cm4 cm13 cm
    Check

  11. 11. The circular cross-section of a cylinder has a radius of 2 cm. The height of the cylinder is five times the radius. What is the surface area of the cylinder, correct to three significant figures?

    Check

  12. 12. Work out the surface area of this triangular prism. Its triangular cross-section is a right-angled triangle.

    10 mm24 mm60 mm
    Check

  13. 13. Work out the surface area of this triangular prism. Its triangular cross-section is a right-angled triangle.

    12 cm15 cm40 cm
    Check

  14. 14. The diagram shows a cylindrical rice cake. 18 of these rice cakes are stacked on top of each other in a cardboard tube. The tube has a cardboard base and a plastic lid. What is the surface area of the cardboard needed to make the tube? Give your answer correct to three significant figures (3 s.f.).

    9.6 cm0.5 cm
    Check

  15. 15. The diagram shows a polytunnel which is used to grow plants. The polytunnel has a semi-circular cross-section, and is made from plastic, including both semi-circular ends. Carlos thinks that 445 m² of plastic will be enough to make this polytunnel. Is Carlos correct? Explain your answer.

    9 m27 m
    Check

  16. 16. The cross-section of prism A is a semicircle. The cross-section of prism B is a quarter-circle. Without doing any calculations, which prism do you think has the greater surface area?

    10 cm15 cmA8 cm13 cmB
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  17. 17. Work out the surface areas of prisms A and B. Is the surface area of prism B greater than that of prism A?

    10 cm15 cmA8 cm13 cmB
    Check

  18. 18. Prisms A and B have surface areas 464.2 cm² and 471.9 cm². Which prism has the greater surface area, and by about how much?

    Check