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Class 5 Maths Worksheet: Area and Volume

Maths worksheets lesson 38: Area and volume · Set 10 · 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 72 cubic cm. Its length is 6 cm and its width is 4 cm. What is its height (in cm)?
  2. 2.A cuboid has a volume of 162 cubic cm. Its length is 9 cm and its width is 3 cm. What is its height (in cm)?
  3. 3.A cuboid has a volume of 432 cubic cm. Its length is 6 cm and its width is 8 cm. What is its height (in cm)?
  4. 4.A tank is 70 cm long, 70 cm wide and 90 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  5. 5.Each edge of a cube is 6 cm. What is its volume (in cubic cm)?
  6. 6.How many square tiles of side 1 m are needed to cover a floor 12 m long and 13 m wide?
  7. 7.A cuboid has a volume of 252 cubic cm. Its length is 7 cm and its width is 4 cm. What is its height (in cm)?
  8. 8.Each edge of a cube is 8 cm. What is its volume (in cubic cm)?
  9. 9.Each edge of a cube is 3 cm. What is its volume (in cubic cm)?
  10. 10.A cuboid has a volume of 90 cubic cm. Its length is 10 cm and its width is 3 cm. What is its height (in cm)?
  11. 11.A shape is made by joining a rectangle 7 cm by 5 cm and a rectangle 2 cm by 4 cm without overlapping. What is its total area (in square cm)?
  12. 12.A box is 2 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
  13. 13.Each edge of a cube is 5 cm. What is its volume (in cubic cm)?
  14. 14.A cuboid has a volume of 288 cubic cm. Its length is 8 cm and its width is 9 cm. What is its height (in cm)?
  15. 15.A box is 3 cm long, 4 cm wide and 5 cm high. What is its volume (in cubic cm)?
  16. 16.Each edge of a cube is 9 cm. What is its volume (in cubic cm)?
  17. 17.A shape is made by joining a rectangle 7 cm by 8 cm and a rectangle 7 cm by 5 cm without overlapping. What is its total area (in square cm)?
  18. 18.A tank is 60 cm long, 80 cm wide and 10 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  19. 19.Each edge of a cube is 4 cm. What is its volume (in cubic cm)?
  20. 20.A shape is made by joining a rectangle 7 cm by 9 cm and a rectangle 3 cm by 3 cm without overlapping. What is its total area (in square cm)?
  21. 21.A shape is made by joining a rectangle 11 cm by 6 cm and a rectangle 2 cm by 2 cm without overlapping. What is its total area (in square cm)?
  22. 22.A cuboid has a volume of 240 cubic cm. Its length is 3 cm and its width is 10 cm. What is its height (in cm)?
  23. 23.A box is 5 cm long, 4 cm wide and 10 cm high. What is its volume (in cubic cm)?
  24. 24.Each edge of a cube is 2 cm. What is its volume (in cubic cm)?
  25. 25.How many square tiles of side 1 m are needed to cover a floor 18 m long and 9 m wide?
  26. 26.A box is 3 cm long, 11 cm wide and 5 cm high. What is its volume (in cubic cm)?
  27. 27.Each edge of a cube is 10 cm. What is its volume (in cubic cm)?
  28. 28.A tank is 10 cm long, 40 cm wide and 30 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  29. 29.A tank is 50 cm long, 100 cm wide and 90 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  30. 30.A box is 10 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
  31. 31.A tank is 80 cm long, 30 cm wide and 80 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  32. 32.How many square tiles of side 1 m are needed to cover a floor 14 m long and 5 m wide?
  33. 33.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)
  34. 34.A box is 11 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  35. 35.A tank is 40 cm long, 90 cm wide and 90 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  36. 36.A shape is made by joining a rectangle 7 cm by 9 cm and a rectangle 2 cm by 4 cm without overlapping. What is its total area (in square cm)?
  37. 37.A tank is 10 cm long, 100 cm wide and 30 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  38. 38.How many square tiles of side 1 m are needed to cover a floor 6 m long and 12 m wide?
  39. 39.How many square tiles of side 1 m are needed to cover a floor 11 m long and 11 m wide?
  40. 40.How many square tiles of side 1 m are needed to cover a floor 17 m long and 5 m wide?

Answer key

  1. 3
  2. 6
  3. 9
  4. 441
  5. 216
  6. 156
  7. 9
  8. 512
  9. 27
  10. 3
  11. 43
  12. 180
  13. 125
  14. 4
  15. 60
  16. 729
  17. 91
  18. 48
  19. 64
  20. 72
  21. 70
  22. 8
  23. 200
  24. 8
  25. 162
  26. 165
  27. 1000
  28. 12
  29. 450
  30. 300
  31. 192
  32. 70
  33. 2
  34. 484
  35. 324
  36. 71
  37. 30
  38. 72
  39. 121
  40. 85

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