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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 244 · 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 17 cm and 11 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  3. 3.A room is 10 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A trapezium has parallel sides of 28 cm and 10 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  5. 5.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  6. 6.A cuboid is 3 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  7. 7.A cuboid is 7 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  8. 8.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  10. 10.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  11. 11.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  12. 12.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has parallel sides of 17 cm and 24 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  15. 15.A cuboid is 12 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  16. 16.The diagonals of a rhombus are 6 cm and 19 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 4 cm and 26 cm. What is its area (in square cm)?
  18. 18.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
  19. 19.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  20. 20.A trapezium has an area of 66 square cm. Its parallel sides are 5 cm and 28 cm. What is the distance between them (in cm)?
  21. 21.The diagonals of a rhombus are 30 cm and 6 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 8 cm and 21 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 26 cm and 19 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 7 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  25. 25.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A room is 4 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.A cuboid is 13 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  29. 29.A cuboid is 8 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  30. 30.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  31. 31.A cuboid is 11 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 24 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  33. 33.A cuboid is 12 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.A cuboid is 12 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 11 cm and 24 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 14 cm and 5 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 66 square cm. Its parallel sides are 25 cm and 19 cm. What is the distance between them (in cm)?
  38. 38.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  40. 40.A room is 9 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 42
  2. 9
  3. 78
  4. 323
  5. 13
  6. 66
  7. 412
  8. 80
  9. 7
  10. 66
  11. 16
  12. 72
  13. 96
  14. 287
  15. 352
  16. 57
  17. 52
  18. 30
  19. 294
  20. 4
  21. 90
  22. 203
  23. 405
  24. 48
  25. 190
  26. 112
  27. 460
  28. 3750
  29. 252
  30. 4
  31. 304
  32. 217
  33. 132
  34. 324
  35. 105
  36. 35
  37. 3
  38. 54
  39. 2
  40. 90

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