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Class 5 Maths Worksheet: Area and Volume

Maths worksheets lesson 38: Area and volume · Set 498 · 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 tank is 30 cm long, 20 cm wide and 50 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  2. 2.A shape is made by joining a rectangle 11 cm by 3 cm and a rectangle 5 cm by 3 cm without overlapping. What is its total area (in square cm)?
  3. 3.A cuboid has a volume of 120 cubic cm. Its length is 10 cm and its width is 3 cm. What is its height (in cm)?
  4. 4.A box is 11 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
  5. 5.A tank is 30 cm long, 90 cm wide and 10 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  6. 6.A shape is made by joining a rectangle 5 cm by 9 cm and a rectangle 4 cm by 2 cm without overlapping. What is its total area (in square cm)?
  7. 7.A shape is made by joining a rectangle 6 cm by 4 cm and a rectangle 7 cm by 5 cm without overlapping. What is its total area (in square cm)?
  8. 8.A shape is made by joining a rectangle 8 cm by 3 cm and a rectangle 8 cm by 3 cm without overlapping. What is its total area (in square cm)?
  9. 9.A shape is made by joining a rectangle 6 cm by 6 cm and a rectangle 8 cm by 5 cm without overlapping. What is its total area (in square cm)?
  10. 10.A cuboid has a volume of 90 cubic cm. Its length is 5 cm and its width is 9 cm. What is its height (in cm)?
  11. 11.A box is 11 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  12. 12.A box is 6 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  13. 13.Each edge of a cube is 8 cm. What is its volume (in cubic cm)?
  14. 14.Each edge of a cube is 3 cm. What is its volume (in cubic cm)?
  15. 15.A box is 11 cm long, 6 cm wide and 12 cm high. What is its volume (in cubic cm)?
  16. 16.A cuboid has a volume of 120 cubic cm. Its length is 4 cm and its width is 3 cm. What is its height (in cm)?
  17. 17.A cuboid has a volume of 108 cubic cm. Its length is 3 cm and its width is 6 cm. What is its height (in cm)?
  18. 18.A cuboid has a volume of 729 cubic cm. Its length is 9 cm and its width is 9 cm. What is its height (in cm)?
  19. 19.A tank is 20 cm long, 70 cm wide and 50 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  20. 20.A tank is 20 cm long, 80 cm wide and 20 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  21. 21.A box is 7 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
  22. 22.How many square tiles of side 1 m are needed to cover a floor 10 m long and 8 m wide?
  23. 23.A tank is 60 cm long, 10 cm wide and 30 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  24. 24.Each edge of a cube is 2 cm. What is its volume (in cubic cm)?
  25. 25.A box is 5 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
  26. 26.A tank is 20 cm long, 60 cm wide and 100 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  27. 27.How many square tiles of side 1 m are needed to cover a floor 10 m long and 10 m wide?
  28. 28.A cuboid has a volume of 450 cubic cm. Its length is 10 cm and its width is 5 cm. What is its height (in cm)?
  29. 29.A box is 2 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
  30. 30.A cuboid has a volume of 36 cubic cm. Its length is 2 cm and its width is 9 cm. What is its height (in cm)?
  31. 31.A box is 6 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
  32. 32.Each edge of a cube is 9 cm. What is its volume (in cubic cm)?
  33. 33.How many square tiles of side 1 m are needed to cover a floor 4 m long and 9 m wide?
  34. 34.A box is 3 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
  35. 35.Each edge of a cube is 7 cm. What is its volume (in cubic cm)?
  36. 36.A shape is made by joining a rectangle 5 cm by 3 cm and a rectangle 4 cm by 8 cm without overlapping. What is its total area (in square cm)?
  37. 37.A shape is made by joining a rectangle 11 cm by 9 cm and a rectangle 5 cm by 8 cm without overlapping. What is its total area (in square cm)?
  38. 38.How many square tiles of side 1 m are needed to cover a floor 15 m long and 15 m wide?
  39. 39.A box is 4 cm long, 8 cm wide and 7 cm high. What is its volume (in cubic cm)?
  40. 40.A cuboid has a volume of 360 cubic cm. Its length is 10 cm and its width is 6 cm. What is its height (in cm)?

Answer key

  1. 30
  2. 48
  3. 4
  4. 154
  5. 27
  6. 53
  7. 59
  8. 48
  9. 76
  10. 2
  11. 99
  12. 264
  13. 512
  14. 27
  15. 792
  16. 10
  17. 6
  18. 9
  19. 70
  20. 32
  21. 847
  22. 80
  23. 18
  24. 8
  25. 175
  26. 120
  27. 100
  28. 9
  29. 72
  30. 2
  31. 144
  32. 729
  33. 36
  34. 105
  35. 343
  36. 47
  37. 139
  38. 225
  39. 224
  40. 6

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