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Class 5 Maths Worksheet: Area and Volume

Maths worksheets lesson 38: Area and volume · Set 144 · 40 sums
TalentJR

The method (Three sides multiply): Area of a rectangle = length × width (square units). Volume of a cuboid = length × width × height (cubic units). Cube: edge × edge × edge. Missing height = volume ÷ (length × width). 1000 cubic cm = 1 litre.

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  1. 1.A cuboid has a volume of 36 cubic cm. Its length is 3 cm and its width is 4 cm. What is its height (in cm)?
  2. 2.Each edge of a cube is 8 cm. What is its volume (in cubic cm)?
  3. 3.A tank is 90 cm long, 90 cm wide and 10 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  4. 4.A shape is made by joining a rectangle 4 cm by 9 cm and a rectangle 2 cm by 2 cm without overlapping. What is its total area (in square cm)?
  5. 5.How many square tiles of side 1 m are needed to cover a floor 9 m long and 4 m wide?
  6. 6.A shape is made by joining a rectangle 4 cm by 6 cm and a rectangle 7 cm by 3 cm without overlapping. What is its total area (in square cm)?
  7. 7.A cuboid has a volume of 108 cubic cm. Its length is 6 cm and its width is 2 cm. What is its height (in cm)?
  8. 8.A cuboid has a volume of 384 cubic cm. Its length is 6 cm and its width is 8 cm. What is its height (in cm)?
  9. 9.A box is 11 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  10. 10.How many square tiles of side 1 m are needed to cover a floor 4 m long and 12 m wide?
  11. 11.A shape is made by joining a rectangle 8 cm by 4 cm and a rectangle 7 cm by 4 cm without overlapping. What is its total area (in square cm)?
  12. 12.A tank is 10 cm long, 10 cm wide and 20 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  13. 13.A cuboid has a volume of 60 cubic cm. Its length is 5 cm and its width is 3 cm. What is its height (in cm)?
  14. 14.A box is 6 cm long, 5 cm wide and 7 cm high. What is its volume (in cubic cm)?
  15. 15.A tank is 10 cm long, 90 cm wide and 60 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  16. 16.A tank is 100 cm long, 20 cm wide and 60 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  17. 17.Each edge of a cube is 7 cm. What is its volume (in cubic cm)?
  18. 18.A shape is made by joining a rectangle 5 cm by 7 cm and a rectangle 2 cm by 2 cm without overlapping. What is its total area (in square cm)?
  19. 19.How many square tiles of side 1 m are needed to cover a floor 8 m long and 3 m wide?
  20. 20.A shape is made by joining a rectangle 12 cm by 6 cm and a rectangle 3 cm by 5 cm without overlapping. What is its total area (in square cm)?
  21. 21.A box is 5 cm long, 9 cm wide and 8 cm high. What is its volume (in cubic cm)?
  22. 22.A cuboid has a volume of 36 cubic cm. Its length is 9 cm and its width is 2 cm. What is its height (in cm)?
  23. 23.How many square tiles of side 1 m are needed to cover a floor 19 m long and 15 m wide?
  24. 24.A cuboid has a volume of 140 cubic cm. Its length is 7 cm and its width is 2 cm. What is its height (in cm)?
  25. 25.A cuboid has a volume of 72 cubic cm. Its length is 3 cm and its width is 6 cm. What is its height (in cm)?
  26. 26.A cuboid has a volume of 80 cubic cm. Its length is 10 cm and its width is 4 cm. What is its height (in cm)?
  27. 27.Each edge of a cube is 2 cm. What is its volume (in cubic cm)?
  28. 28.How many square tiles of side 1 m are needed to cover a floor 4 m long and 9 m wide?
  29. 29.A shape is made by joining a rectangle 9 cm by 4 cm and a rectangle 7 cm by 7 cm without overlapping. What is its total area (in square cm)?
  30. 30.Each edge of a cube is 9 cm. What is its volume (in cubic cm)?
  31. 31.A box is 9 cm long, 4 cm wide and 12 cm high. What is its volume (in cubic cm)?
  32. 32.How many square tiles of side 1 m are needed to cover a floor 9 m long and 13 m wide?
  33. 33.How many square tiles of side 1 m are needed to cover a floor 14 m long and 4 m wide?
  34. 34.A tank is 70 cm long, 10 cm wide and 80 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  35. 35.A box is 9 cm long, 8 cm wide and 11 cm high. What is its volume (in cubic cm)?
  36. 36.A cuboid has a volume of 168 cubic cm. Its length is 6 cm and its width is 7 cm. What is its height (in cm)?
  37. 37.Each edge of a cube is 6 cm. What is its volume (in cubic cm)?
  38. 38.A shape is made by joining a rectangle 5 cm by 8 cm and a rectangle 2 cm by 8 cm without overlapping. What is its total area (in square cm)?
  39. 39.A shape is made by joining a rectangle 6 cm by 6 cm and a rectangle 7 cm by 6 cm without overlapping. What is its total area (in square cm)?
  40. 40.A box is 12 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?

Answer key

  1. 3
  2. 512
  3. 81
  4. 40
  5. 36
  6. 45
  7. 9
  8. 8
  9. 165
  10. 48
  11. 60
  12. 2
  13. 4
  14. 210
  15. 54
  16. 120
  17. 343
  18. 39
  19. 24
  20. 87
  21. 360
  22. 2
  23. 285
  24. 10
  25. 4
  26. 2
  27. 8
  28. 36
  29. 85
  30. 729
  31. 432
  32. 117
  33. 56
  34. 56
  35. 792
  36. 4
  37. 216
  38. 56
  39. 78
  40. 48

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