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Class 5 Maths Worksheet: Area and Volume

Maths worksheets lesson 38: Area and volume · Set 457 · 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 243 cubic cm. Its length is 9 cm and its width is 3 cm. What is its height (in cm)?
  2. 2.A shape is made by joining a rectangle 6 cm by 9 cm and a rectangle 2 cm by 2 cm without overlapping. What is its total area (in square cm)?
  3. 3.Each edge of a cube is 9 cm. What is its volume (in cubic cm)?
  4. 4.A cuboid has a volume of 280 cubic cm. Its length is 8 cm and its width is 7 cm. What is its height (in cm)?
  5. 5.A tank is 50 cm long, 70 cm wide and 100 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  6. 6.How many square tiles of side 1 m are needed to cover a floor 12 m long and 15 m wide?
  7. 7.A shape is made by joining a rectangle 8 cm by 9 cm and a rectangle 3 cm by 5 cm without overlapping. What is its total area (in square cm)?
  8. 8.How many square tiles of side 1 m are needed to cover a floor 18 m long and 9 m wide?
  9. 9.A shape is made by joining a rectangle 7 cm by 5 cm and a rectangle 4 cm by 5 cm without overlapping. What is its total area (in square cm)?
  10. 10.How many square tiles of side 1 m are needed to cover a floor 6 m long and 14 m wide?
  11. 11.Each edge of a cube is 7 cm. What is its volume (in cubic cm)?
  12. 12.How many square tiles of side 1 m are needed to cover a floor 8 m long and 6 m wide?
  13. 13.A tank is 10 cm long, 80 cm wide and 20 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  14. 14.A shape is made by joining a rectangle 9 cm by 3 cm and a rectangle 5 cm by 5 cm without overlapping. What is its total area (in square cm)?
  15. 15.A tank is 30 cm long, 20 cm wide and 70 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  16. 16.Each edge of a cube is 2 cm. What is its volume (in cubic cm)?
  17. 17.A shape is made by joining a rectangle 11 cm by 10 cm and a rectangle 4 cm by 3 cm without overlapping. What is its total area (in square cm)?
  18. 18.Each edge of a cube is 4 cm. What is its volume (in cubic cm)?
  19. 19.A box is 9 cm long, 5 cm wide and 7 cm high. What is its volume (in cubic cm)?
  20. 20.A tank is 40 cm long, 80 cm wide and 80 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  21. 21.A cuboid has a volume of 75 cubic cm. Its length is 5 cm and its width is 5 cm. What is its height (in cm)?
  22. 22.A cuboid has a volume of 252 cubic cm. Its length is 9 cm and its width is 7 cm. What is its height (in cm)?
  23. 23.A box is 2 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
  24. 24.A tank is 30 cm long, 90 cm wide and 50 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  25. 25.A box is 4 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
  26. 26.Each edge of a cube is 3 cm. What is its volume (in cubic cm)?
  27. 27.A tank is 10 cm long, 20 cm wide and 70 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  28. 28.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)
  29. 29.A tank is 80 cm long, 40 cm wide and 20 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  30. 30.A shape is made by joining a rectangle 7 cm by 4 cm and a rectangle 4 cm by 3 cm without overlapping. What is its total area (in square cm)?
  31. 31.A shape is made by joining a rectangle 7 cm by 4 cm and a rectangle 3 cm by 8 cm without overlapping. What is its total area (in square cm)?
  32. 32.A tank is 40 cm long, 30 cm wide and 50 cm high. How many litres of water can it hold? (1 litre = 1000 cubic cm)
  33. 33.How many square tiles of side 1 m are needed to cover a floor 13 m long and 14 m wide?
  34. 34.A cuboid has a volume of 147 cubic cm. Its length is 7 cm and its width is 3 cm. What is its height (in cm)?
  35. 35.A shape is made by joining a rectangle 4 cm by 4 cm and a rectangle 6 cm by 6 cm without overlapping. What is its total area (in square cm)?
  36. 36.How many square tiles of side 1 m are needed to cover a floor 7 m long and 11 m wide?
  37. 37.How many square tiles of side 1 m are needed to cover a floor 4 m long and 7 m wide?
  38. 38.A box is 2 cm long, 2 cm wide and 12 cm high. What is its volume (in cubic cm)?
  39. 39.A shape is made by joining a rectangle 8 cm by 5 cm and a rectangle 8 cm by 2 cm without overlapping. What is its total area (in square cm)?
  40. 40.A cuboid has a volume of 60 cubic cm. Its length is 2 cm and its width is 6 cm. What is its height (in cm)?

Answer key

  1. 9
  2. 58
  3. 729
  4. 5
  5. 350
  6. 180
  7. 87
  8. 162
  9. 55
  10. 84
  11. 343
  12. 48
  13. 16
  14. 52
  15. 42
  16. 8
  17. 122
  18. 64
  19. 315
  20. 256
  21. 3
  22. 4
  23. 12
  24. 135
  25. 56
  26. 27
  27. 14
  28. 18
  29. 64
  30. 40
  31. 52
  32. 60
  33. 182
  34. 7
  35. 52
  36. 77
  37. 28
  38. 48
  39. 56
  40. 5

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