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Celeste International School

Grade 6 · Worksheet

Area, volume and surface area

Calculating the surface area of cubes and cuboids

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    A cube has sides of 15 cm. What is its surface area?

    cm²
  2. 2.

    How many faces does a cuboid have?

    faces
  3. 3.

    A cuboid is 7 cm long and 4 cm wide. What is the area of its top face?

    cm²
  4. 4.

    A cube of side 5 cm — which is the surface area and which is the volume?

    1. Asurface area 150 cm², volume 125 cm³
    2. Bsurface area 125 cm², volume 150 cm³
    3. Csurface area 25 cm², volume 150 cm³
  5. 5.

    A cube has a surface area of 150 cm². What is the area of one face?

    cm²
  6. 6.

    Sort each statement about surface area.

    Write each item’s group (True / False):

    • it is the total area of all the faces
    • it is measured in square units
    • a cuboid has 6 faces
    • it is measured in cubic units
  7. 7.

    A cuboid is 7 cm by 2 cm by 5 cm. What is its surface area?

    cm²
  8. 8.

    The surface area of a 6 by 8 by 3 cuboid is 90 cm².

    True False
  9. 9.

    A cuboid is 9 cm by 7 cm by 7 cm. What is the TOTAL area of the two faces measuring 9 cm by 7 cm?

    cm²
  10. 10.

    A cuboid is 3 cm by 8 cm by 6 cm. Match each pair of faces to its total area.

    Write the letter of the matching item in each box:

    • ?the two 3 by 8 faces
    • ?the two 3 by 6 faces
    • ?the two 8 by 6 faces
    • A48 cm²
    • B36 cm²
    • C96 cm²
  11. 11.

    A cube has sides of 3 cm. What is the area of ONE face?

    cm²
  12. 12.

    The surface area of a 8 by 2 by 4 cuboid is 56 cm².

    True False
  13. 13.

    A cuboid is 7 cm by 5 cm by 6 cm. What is the TOTAL area of the two faces measuring 7 cm by 5 cm?

    cm²
  14. 14.

    A cuboid is 9 cm by 6 cm by 8 cm. What is its surface area?

    cm²
  15. 15.

    A cuboid is 10 cm long and 8 cm wide. What is the area of its top face?

    cm²
  16. 16.

    A cube of side 2 cm — which is the surface area and which is the volume?

    1. Asurface area 24 cm², volume 8 cm³
    2. Bsurface area 8 cm², volume 24 cm³
    3. Csurface area 4 cm², volume 24 cm³
  17. 17.

    A cube has a surface area of 384 cm². What is the area of one face?

    cm²
  18. 18.

    A cuboid is 8 cm by 5 cm by 2 cm. What is its surface area?

    cm²
  19. 19.

    A cuboid is 8 cm long and 6 cm wide. What is the area of its top face?

    cm²
  20. 20.

    A cube of side 4 cm — which is the surface area and which is the volume?

    1. Asurface area 64 cm², volume 96 cm³
    2. Bsurface area 96 cm², volume 64 cm³
    3. Csurface area 16 cm², volume 96 cm³
Celeste International School

Answer key

Area, volume and surface area — Calculating the surface area of cubes and cuboids

  1. 1.1350 cm²
  2. 2.6 faces
  3. 3.28 cm²
  4. 4.A. surface area 150 cm², volume 125 cm³
  5. 5.25 cm²
  6. 6.it is the total area of all the faces = True; it is measured in square units = True; a cuboid has 6 faces = True; it is measured in cubic units = False
  7. 7.118 cm²
  8. 8.False
  9. 9.126 cm²
  10. 10.the two 3 by 8 faces → 48 cm²; the two 3 by 6 faces → 36 cm²; the two 8 by 6 faces → 96 cm²
  11. 11.9 cm²
  12. 12.False
  13. 13.70 cm²
  14. 14.348 cm²
  15. 15.80 cm²
  16. 16.A. surface area 24 cm², volume 8 cm³
  17. 17.64 cm²
  18. 18.132 cm²
  19. 19.48 cm²
  20. 20.B. surface area 96 cm², volume 64 cm³