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Math 7 · Unit 15: Shapes, area and volume · Cambridge Lower Secondary Maths Stage 7

15.5 Calculating the surface area of cubes

30 questions · e.g. A cube with edge 4 cm

Practice

Questions

  1. 1. Copy and complete the working to find the surface area of the cube.

    3 cm3 cm3 cmArea of one face = cm²Total surface area = 6 × = cm²

    Fill the blanks with these.

    Check

  2. 2. Copy and complete the working to find the surface area of the cube.

    5 cm5 cm5 cmArea of one face = cm²Total surface area = 6 × = cm²

    Fill the blanks with these.

    Check

  3. 3. Copy and complete the working to find the surface area of the cube.

    10 cm10 cm10 cmArea of one face = cm²Total surface area = 6 × = cm²

    Fill the blanks with these.

    Check

  4. 4. Copy and complete the working to find the surface area of the cuboid.

    4 cm3 cm2 cmFront face = 12 cm²Back face = 12 cm²Top face = 8 cm²Bottom face = cm²Left end face = 6 cm²Right end face = cm²Total = 12 + 12 + 8 + + 6 + = cm²

    Fill the blanks with these.

    Check

  5. 5. Copy and complete the working to find the surface area of the cuboid.

    6 cm5 cm3 cmFront face = 30 cm²Back face = cm²Top face = 18 cm²Bottom face = cm²Left end face = cm²Right end face = cm²Total = 30 + + 18 + + + = cm²

    Fill the blanks with these.

    Check

  6. 6. Copy and complete the workings to find the surface area of the cube.

    4 cmArea of one face = × = cm²Surface area of cube = 6 × = cm²

    Fill the blanks with these.

    Check

  7. 7. Copy and complete the workings to find the surface area of the cube.

    6 cmArea of one face = × = cm²Surface area of cube = 6 × = cm²

    Fill the blanks with these.

    Check

  8. 8. Copy and complete the workings to find the surface area of the cuboid.

    8 cm5 cm3 cmTop face = 8 × 3 = cm²Front face = 8 × 5 = cm²Side face = 5 × 3 = cm²Surface area = 2 × + 2 × + 2 × = cm²

    Fill the blanks with these.

    Check

  9. 9. Copy and complete the workings to find the surface area of the cuboid.

    10 mm6 mm4 mmTop face = 10 × 4 = mm²Front face = 10 × 6 = mm²Side face = 6 × 4 = mm²Surface area = 2 × + 2 × + 2 × = mm²

    Fill the blanks with these.

    Check

  10. 10. Work out the surface area of the cuboid.

    5 m2 m4 m
    Check

  11. 11. Work out the surface area of the cuboid.

    7 mm5 mm10 mm
    Check

  12. 12. Work out the surface area of the cuboid.

    8 cm1 cm4 cm
    Check

  13. 13. Which of these shapes has the smaller surface area: cube A or cuboid B?

    AB10 mm10 mm10 mm20 mm5 mm10 mm
    Check

  14. 14. Which of these shapes has the smaller surface area: cube A or cuboid B?

    AB2 cm2 cm2 cm40 mm5 mm20 mm
    Check

  15. 15. Work out the surface area of this cuboid. Give your answer in cm².

    2 m50 cm80 cm
    Check

  16. 16. Work out the surface area of this cuboid. Give your answer in m².

    2 m50 cm80 cm
    Check

  17. 17. Emma has a wooden sculpture in the shape of a cuboid. The sculpture has a height of 2 m, a length of 1.5 m and a width of 1 m. Emma plans to paint all the faces of the sculpture with three coats of wood varnish. Use the information given in the diagram to work out how many tins of wood varnish Emma will need to buy.

    varnish$12.99(Size of tin: 500 mL)1 litre covers 12 m²
    Check

  18. 18. Emma has a wooden sculpture in the shape of a cuboid. The sculpture has a height of 2 m, a length of 1.5 m and a width of 1 m. Emma plans to paint all the faces of the sculpture with three coats of wood varnish. What will be the total cost of the wood varnish?

    varnish$12.99(Size of tin: 500 mL)1 litre covers 12 m²
    Check

  19. 19. Work out the surface area of a cube with side length 0.8 m. Give your answer in cm².

    Check

  20. 20. The surface area of a cube is 384 m². What is the area of one face of the cube?

    Check