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Class 5 Maths Worksheet: Area and Volume

Maths worksheets lesson 38: Area and volume · Set 95 · 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 270 cubic cm. Its length is 5 cm and its width is 9 cm. What is its height (in cm)?
  2. 2.A cuboid has a volume of 343 cubic cm. Its length is 7 cm and its width is 7 cm. What is its height (in cm)?
  3. 3.How many square tiles of side 1 m are needed to cover a floor 15 m long and 5 m wide?
  4. 4.A shape is made by joining a rectangle 5 cm by 9 cm and a rectangle 2 cm by 8 cm without overlapping. What is its total area (in square cm)?
  5. 5.A box is 3 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  6. 6.A box is 9 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
  7. 7.A tank is 80 cm long, 30 cm wide and 50 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  8. 8.A cuboid has a volume of 40 cubic cm. Its length is 10 cm and its width is 2 cm. What is its height (in cm)?
  9. 9.A cuboid has a volume of 32 cubic cm. Its length is 2 cm and its width is 8 cm. What is its height (in cm)?
  10. 10.A tank is 40 cm long, 30 cm wide and 90 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  11. 11.A tank is 40 cm long, 50 cm wide and 30 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  12. 12.A tank is 50 cm long, 10 cm wide and 90 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  13. 13.A cuboid has a volume of 504 cubic cm. Its length is 9 cm and its width is 8 cm. What is its height (in cm)?
  14. 14.How many square tiles of side 1 m are needed to cover a floor 19 m long and 8 m wide?
  15. 15.A cuboid has a volume of 32 cubic cm. Its length is 2 cm and its width is 2 cm. What is its height (in cm)?
  16. 16.Each edge of a cube is 5 cm. What is its volume (in cubic cm)?
  17. 17.A box is 6 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
  18. 18.Each edge of a cube is 6 cm. What is its volume (in cubic cm)?
  19. 19.Each edge of a cube is 9 cm. What is its volume (in cubic cm)?
  20. 20.A box is 5 cm long, 11 cm wide and 5 cm high. What is its volume (in cubic cm)?
  21. 21.A shape is made by joining a rectangle 4 cm by 4 cm and a rectangle 7 cm by 3 cm without overlapping. What is its total area (in square cm)?
  22. 22.A shape is made by joining a rectangle 12 cm by 9 cm and a rectangle 2 cm by 4 cm without overlapping. What is its total area (in square cm)?
  23. 23.How many square tiles of side 1 m are needed to cover a floor 7 m long and 8 m wide?
  24. 24.A box is 5 cm long, 6 cm wide and 8 cm high. What is its volume (in cubic cm)?
  25. 25.A shape is made by joining a rectangle 11 cm by 10 cm and a rectangle 4 cm by 2 cm without overlapping. What is its total area (in square cm)?
  26. 26.How many square tiles of side 1 m are needed to cover a floor 19 m long and 6 m wide?
  27. 27.A box is 4 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
  28. 28.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)
  29. 29.A cuboid has a volume of 126 cubic cm. Its length is 7 cm and its width is 6 cm. What is its height (in cm)?
  30. 30.A box is 10 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  31. 31.A shape is made by joining a rectangle 4 cm by 3 cm and a rectangle 8 cm by 5 cm without overlapping. What is its total area (in square cm)?
  32. 32.A cuboid has a volume of 400 cubic cm. Its length is 10 cm and its width is 4 cm. What is its height (in cm)?
  33. 33.A cuboid has a volume of 350 cubic cm. Its length is 5 cm and its width is 10 cm. What is its height (in cm)?
  34. 34.Each edge of a cube is 3 cm. What is its volume (in cubic cm)?
  35. 35.Each edge of a cube is 8 cm. What is its volume (in cubic cm)?
  36. 36.A box is 7 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
  37. 37.A tank is 90 cm long, 10 cm wide and 100 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  38. 38.A shape is made by joining a rectangle 12 cm by 3 cm and a rectangle 5 cm by 3 cm without overlapping. What is its total area (in square cm)?
  39. 39.A tank is 80 cm long, 20 cm wide and 70 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  40. 40.How many square tiles of side 1 m are needed to cover a floor 20 m long and 9 m wide?

Answer key

  1. 6
  2. 7
  3. 75
  4. 61
  5. 12
  6. 630
  7. 120
  8. 2
  9. 2
  10. 108
  11. 60
  12. 45
  13. 7
  14. 152
  15. 8
  16. 125
  17. 726
  18. 216
  19. 729
  20. 275
  21. 37
  22. 116
  23. 56
  24. 240
  25. 118
  26. 114
  27. 96
  28. 64
  29. 3
  30. 90
  31. 52
  32. 10
  33. 7
  34. 27
  35. 512
  36. 252
  37. 90
  38. 51
  39. 112
  40. 180

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