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Celeste International School

Grade 6 · Worksheet

Area, volume and surface area

Calculating the volume of cubes and cuboids

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

    A cuboid is 2 cm long, 3 cm wide and 7 cm high. What is its volume?

    cm³
  2. 2.

    A cuboid is 3 cm by 5 cm by 6 cm. How many centimetre cubes are there in ONE layer?

    cubes
  3. 3.

    What units are used for volume?

    1. Acubic units such as cm³
    2. Bsquare units such as cm²
    3. Clengths such as cm
  4. 4.

    Multiplying the three lengths of a cuboid in a different order gives a different volume.

    True False
  5. 5.

    A box is 2 m by 4 m by 6 m. What units will its volume be in?

    1. Am³
    2. Bm²
    3. Cm
  6. 6.

    A cuboid is 4 cm by 3 cm by 4 cm. How many layers of centimetre cubes are there, if each layer is 4 by 3?

    layers
  7. 7.

    A cube has sides of 9 cm. What is its volume?

    cm³
  8. 8.

    A compound solid is made of a cube of side 2 m and a cuboid 8 m by 5 m by 4 m. What is the total volume?

    m³
  9. 9.

    A box is 4 m by 6 m by 8 m. What units will its volume be in?

    1. Am²
    2. Bm³
    3. Cm
  10. 10.

    A cuboid is 4 cm long, 8 cm wide and 3 cm high. What is its volume?

    cm³
  11. 11.

    A cuboid is 6 cm by 8 cm by 4 cm. How many centimetre cubes are there in ONE layer?

    cubes
  12. 12.

    A cuboid 6 cm by 8 cm by 2 cm has a volume of 16 cm³.

    True False
  13. 13.

    A cuboid is 3 cm long, 6 cm wide and 4 cm high. What is its volume?

    cm³
  14. 14.

    A cuboid is 8 cm by 2 cm by 3 cm. How many centimetre cubes are there in ONE layer?

    cubes
  15. 15.

    A cuboid 7 cm by 2 cm by 4 cm has a volume of 13 cm³.

    True False
  16. 16.

    A cuboid is 2 cm by 7 cm by 5 cm. How many layers of centimetre cubes are there, if each layer is 2 by 7?

    layers
  17. 17.

    A cube has sides of 10 cm. What is its volume?

    cm³
  18. 18.

    A compound solid is made of a cube of side 7 m and a cuboid 2 m by 2 m by 8 m. What is the total volume?

    m³
  19. 19.

    A cube has a volume of 343 cm³. How long is each side?

    cm
  20. 20.

    A cuboid is 5 cm long, 2 cm wide and 8 cm high. What is its volume?

    cm³
Celeste International School

Answer key

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

  1. 1.42 cm³
  2. 2.15 cubes
  3. 3.A. cubic units such as cm³
  4. 4.False
  5. 5.A. m³
  6. 6.4 layers
  7. 7.729 cm³
  8. 8.168 m³
  9. 9.B. m³
  10. 10.96 cm³
  11. 11.48 cubes
  12. 12.False
  13. 13.72 cm³
  14. 14.16 cubes
  15. 15.False
  16. 16.5 layers
  17. 17.1000 cm³
  18. 18.375 m³
  19. 19.7 cm
  20. 20.80 cm³