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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 26 · 40 sums
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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 trapezium has an area of 105 square cm. Its parallel sides are 4 cm and 17 cm. What is the distance between them (in cm)?
  2. 2.A cuboid is 8 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 51 square cm. Its parallel sides are 4 cm and 30 cm. What is the distance between them (in cm)?
  4. 4.The diagonals of a rhombus are 10 cm and 4 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  6. 6.A cuboid is 8 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  7. 7.A room is 8 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.A cuboid is 15 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  9. 9.A cuboid is 3 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  10. 10.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  11. 11.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.A trapezium has parallel sides of 21 cm and 14 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 4 cm and 9 cm. What is its area (in square cm)?
  14. 14.A room is 10 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.A room is 12 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  16. 16.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  19. 19.The diagonals of a rhombus are 26 cm and 12 cm. What is its area (in square cm)?
  20. 20.A trapezium has an area of 76 square cm. Its parallel sides are 9 cm and 10 cm. What is the distance between them (in cm)?
  21. 21.The diagonals of a rhombus are 18 cm and 12 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 8 cm and 16 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 9 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 310 square cm. Its parallel sides are 24 cm and 7 cm. What is the distance between them (in cm)?
  25. 25.A trapezium has parallel sides of 8 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  27. 27.A cuboid is 9 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  28. 28.The diagonals of a rhombus are 22 cm and 6 cm. What is its area (in square cm)?
  29. 29.A cuboid is 4 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  30. 30.A trapezium has an area of 175 square cm. Its parallel sides are 6 cm and 29 cm. What is the distance between them (in cm)?
  31. 31.A trapezium has parallel sides of 22 cm and 25 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  32. 32.A cuboid is 7 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 315 square cm. Its parallel sides are 8 cm and 27 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has parallel sides of 30 cm and 18 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 14 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 12 cm and 23 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 26 cm and 4 cm. What is its area (in square cm)?
  38. 38.A cuboid is 11 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?

Answer key

  1. 10
  2. 416
  3. 3
  4. 20
  5. 384
  6. 292
  7. 120
  8. 272
  9. 102
  10. 136
  11. 108
  12. 350
  13. 18
  14. 78
  15. 210
  16. 96
  17. 56
  18. 15
  19. 156
  20. 8
  21. 108
  22. 240
  23. 210
  24. 20
  25. 26
  26. 17
  27. 222
  28. 66
  29. 208
  30. 10
  31. 329
  32. 358
  33. 18
  34. 72
  35. 170
  36. 138
  37. 52
  38. 178
  39. 48
  40. 10

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