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Class 5 Maths Worksheet: Area and Volume

Maths worksheets lesson 38: Area and volume · Set 109 · 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 150 cubic cm. Its length is 5 cm and its width is 3 cm. What is its height (in cm)?
  2. 2.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)?
  3. 3.Each edge of a cube is 9 cm. What is its volume (in cubic cm)?
  4. 4.A shape is made by joining a rectangle 4 cm by 9 cm and a rectangle 4 cm by 5 cm without overlapping. What is its total area (in square cm)?
  5. 5.A shape is made by joining a rectangle 11 cm by 6 cm and a rectangle 5 cm by 2 cm without overlapping. What is its total area (in square cm)?
  6. 6.How many square tiles of side 1 m are needed to cover a floor 7 m long and 14 m wide?
  7. 7.A tank is 40 cm long, 40 cm wide and 10 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  8. 8.A shape is made by joining a rectangle 10 cm by 7 cm and a rectangle 4 cm by 5 cm without overlapping. What is its total area (in square cm)?
  9. 9.A box is 4 cm long, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?
  10. 10.Each edge of a cube is 7 cm. What is its volume (in cubic cm)?
  11. 11.A box is 7 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  12. 12.A box is 11 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
  13. 13.How many square tiles of side 1 m are needed to cover a floor 15 m long and 15 m wide?
  14. 14.How many square tiles of side 1 m are needed to cover a floor 6 m long and 14 m wide?
  15. 15.Each edge of a cube is 3 cm. What is its volume (in cubic cm)?
  16. 16.A tank is 10 cm long, 50 cm wide and 70 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  17. 17.Each edge of a cube is 8 cm. What is its volume (in cubic cm)?
  18. 18.A tank is 10 cm long, 80 cm wide and 80 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  19. 19.A tank is 80 cm long, 10 cm wide and 100 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  20. 20.A cuboid has a volume of 270 cubic cm. Its length is 5 cm and its width is 6 cm. What is its height (in cm)?
  21. 21.A tank is 40 cm long, 90 cm wide and 60 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  22. 22.A cuboid has a volume of 560 cubic cm. Its length is 7 cm and its width is 10 cm. What is its height (in cm)?
  23. 23.A cuboid has a volume of 360 cubic cm. Its length is 9 cm and its width is 10 cm. What is its height (in cm)?
  24. 24.Each edge of a cube is 2 cm. What is its volume (in cubic cm)?
  25. 25.A cuboid has a volume of 120 cubic cm. Its length is 10 cm and its width is 2 cm. What is its height (in cm)?
  26. 26.A cuboid has a volume of 240 cubic cm. Its length is 6 cm and its width is 8 cm. What is its height (in cm)?
  27. 27.A cuboid has a volume of 180 cubic cm. Its length is 6 cm and its width is 5 cm. What is its height (in cm)?
  28. 28.A cuboid has a volume of 120 cubic cm. Its length is 3 cm and its width is 5 cm. What is its height (in cm)?
  29. 29.How many square tiles of side 1 m are needed to cover a floor 12 m long and 8 m wide?
  30. 30.A box is 5 cm long, 10 cm wide and 2 cm high. What is its volume (in cubic cm)?
  31. 31.A box is 5 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
  32. 32.Each edge of a cube is 10 cm. What is its volume (in cubic cm)?
  33. 33.A shape is made by joining a rectangle 8 cm by 8 cm and a rectangle 8 cm by 4 cm without overlapping. What is its total area (in square cm)?
  34. 34.How many square tiles of side 1 m are needed to cover a floor 20 m long and 15 m wide?
  35. 35.How many square tiles of side 1 m are needed to cover a floor 16 m long and 3 m wide?
  36. 36.How many square tiles of side 1 m are needed to cover a floor 18 m long and 5 m wide?
  37. 37.How many square tiles of side 1 m are needed to cover a floor 9 m long and 12 m wide?
  38. 38.A box is 6 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  39. 39.Each edge of a cube is 6 cm. What is its volume (in cubic cm)?
  40. 40.How many square tiles of side 1 m are needed to cover a floor 10 m long and 5 m wide?

Answer key

  1. 10
  2. 4
  3. 729
  4. 56
  5. 76
  6. 98
  7. 16
  8. 90
  9. 240
  10. 343
  11. 504
  12. 550
  13. 225
  14. 84
  15. 27
  16. 35
  17. 512
  18. 64
  19. 80
  20. 9
  21. 216
  22. 8
  23. 4
  24. 8
  25. 6
  26. 5
  27. 6
  28. 8
  29. 96
  30. 100
  31. 30
  32. 1000
  33. 96
  34. 300
  35. 48
  36. 90
  37. 108
  38. 48
  39. 216
  40. 50

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