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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 305 · 40 sums
TalentJR

The method (Flat parts add up): Trapezium: area = ½ × (a + b) × h. Rhombus: area = ½ × d₁ × d₂. Cuboid: total surface area = 2(lb + bh + hl); four walls = 2h(l + b). Cube: total surface area = 6a²; edge = √(surface area ÷ 6). Missing height of a trapezium = 2 × area ÷ (a + b).

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  1. 1.A cuboid is 3 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  2. 2.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  3. 3.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A cuboid is 8 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  5. 5.The diagonals of a rhombus are 26 cm and 6 cm. What is its area (in square cm)?
  6. 6.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 20 cm and 8 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 26 cm and 22 cm. What is its area (in square cm)?
  9. 9.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 26 cm and 7 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  12. 12.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  13. 13.A trapezium has an area of 153 square cm. Its parallel sides are 27 cm and 24 cm. What is the distance between them (in cm)?
  14. 14.A room is 7 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  15. 15.A cuboid is 10 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  16. 16.The diagonals of a rhombus are 8 cm and 28 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 99 square cm. Its parallel sides are 29 cm and 4 cm. What is the distance between them (in cm)?
  18. 18.A cuboid is 4 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  19. 19.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has parallel sides of 11 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  21. 21.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.A cuboid is 11 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  23. 23.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.A cuboid is 4 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  25. 25.A cuboid is 11 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  26. 26.A trapezium has parallel sides of 20 cm and 14 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  27. 27.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.A cuboid is 7 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  29. 29.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  30. 30.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 16 cm and 8 cm. What is its area (in square cm)?
  32. 32.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  33. 33.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  34. 34.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  35. 35.A room is 6 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has an area of 22 square cm. Its parallel sides are 20 cm and 2 cm. What is the distance between them (in cm)?
  37. 37.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  38. 38.The diagonals of a rhombus are 6 cm and 25 cm. What is its area (in square cm)?
  39. 39.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.A cuboid is 15 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?

Answer key

  1. 318
  2. 2904
  3. 102
  4. 136
  5. 78
  6. 1014
  7. 238
  8. 286
  9. 3456
  10. 91
  11. 12
  12. 96
  13. 6
  14. 128
  15. 548
  16. 112
  17. 6
  18. 96
  19. 110
  20. 57
  21. 96
  22. 358
  23. 108
  24. 176
  25. 122
  26. 289
  27. 60
  28. 136
  29. 90
  30. 54
  31. 64
  32. 3174
  33. 1944
  34. 5
  35. 120
  36. 2
  37. 1536
  38. 75
  39. 66
  40. 738

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