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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 108 · 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 parallel sides of 21 cm and 17 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 17 cm and 20 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  4. 4.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has an area of 58 square cm. Its parallel sides are 10 cm and 19 cm. What is the distance between them (in cm)?
  6. 6.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 30 cm and 26 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 8 cm and 6 cm. What is its area (in square cm)?
  9. 9.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  10. 10.A cuboid is 14 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 6 cm and 20 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 13 cm and 9 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  14. 14.The diagonals of a rhombus are 22 cm and 6 cm. What is its area (in square cm)?
  15. 15.A cuboid is 13 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  16. 16.The diagonals of a rhombus are 28 cm and 9 cm. What is its area (in square cm)?
  17. 17.A room is 5 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.A cuboid is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  19. 19.A cuboid is 7 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has an area of 252 square cm. Its parallel sides are 27 cm and 29 cm. What is the distance between them (in cm)?
  21. 21.A room is 8 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.A trapezium has parallel sides of 4 cm and 10 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 14 cm and 9 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 114 square cm. Its parallel sides are 9 cm and 3 cm. What is the distance between them (in cm)?
  25. 25.A cuboid is 4 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  26. 26.A cuboid is 3 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  27. 27.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  28. 28.The diagonals of a rhombus are 22 cm and 12 cm. What is its area (in square cm)?
  29. 29.A room is 4 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  31. 31.A cuboid is 9 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has an area of 117 square cm. Its parallel sides are 22 cm and 17 cm. What is the distance between them (in cm)?
  33. 33.A trapezium has parallel sides of 6 cm and 24 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 16 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  35. 35.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has parallel sides of 6 cm and 7 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  37. 37.A room is 9 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has parallel sides of 5 cm and 28 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 413 square cm. Its parallel sides are 30 cm and 29 cm. What is the distance between them (in cm)?
  40. 40.The diagonals of a rhombus are 26 cm and 25 cm. What is its area (in square cm)?

Answer key

  1. 266
  2. 370
  3. 2
  4. 1536
  5. 4
  6. 2166
  7. 390
  8. 24
  9. 7
  10. 288
  11. 52
  12. 55
  13. 3
  14. 66
  15. 112
  16. 126
  17. 84
  18. 160
  19. 414
  20. 9
  21. 104
  22. 56
  23. 63
  24. 19
  25. 304
  26. 90
  27. 1014
  28. 132
  29. 80
  30. 1176
  31. 254
  32. 6
  33. 225
  34. 252
  35. 114
  36. 39
  37. 102
  38. 132
  39. 14
  40. 325

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