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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 18 · 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 35 square cm. Its parallel sides are 18 cm and 17 cm. What is the distance between them (in cm)?
  2. 2.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  3. 3.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  4. 4.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has an area of 81 square cm. Its parallel sides are 4 cm and 5 cm. What is the distance between them (in cm)?
  6. 6.A trapezium has parallel sides of 16 cm and 29 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 10 cm and 5 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 280 square cm. Its parallel sides are 9 cm and 26 cm. What is the distance between them (in cm)?
  9. 9.The diagonals of a rhombus are 24 cm and 20 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  11. 11.A trapezium has an area of 152 square cm. Its parallel sides are 12 cm and 7 cm. What is the distance between them (in cm)?
  12. 12.The diagonals of a rhombus are 6 cm and 13 cm. What is its area (in square cm)?
  13. 13.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.A cuboid is 9 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  15. 15.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  16. 16.A cuboid is 6 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  17. 17.A trapezium has an area of 39 square cm. Its parallel sides are 19 cm and 20 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has an area of 102 square cm. Its parallel sides are 7 cm and 27 cm. What is the distance between them (in cm)?
  19. 19.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  20. 20.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  21. 21.A room is 3 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  22. 22.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 15 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  24. 24.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.The diagonals of a rhombus are 26 cm and 29 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
  27. 27.A cuboid is 6 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  28. 28.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  29. 29.A trapezium has parallel sides of 19 cm and 7 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  30. 30.A trapezium has parallel sides of 16 cm and 9 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 10 cm and 28 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 10 cm and 20 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 18 cm and 5 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  34. 34.A cuboid is 15 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  35. 35.The diagonals of a rhombus are 28 cm and 4 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 25 cm and 24 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  37. 37.A room is 6 m long, 6 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 15 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  39. 39.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  40. 40.The diagonals of a rhombus are 24 cm and 29 cm. What is its area (in square cm)?

Answer key

  1. 2
  2. 120
  3. 6
  4. 2646
  5. 18
  6. 90
  7. 25
  8. 16
  9. 240
  10. 486
  11. 16
  12. 39
  13. 180
  14. 342
  15. 54
  16. 214
  17. 2
  18. 6
  19. 2400
  20. 9
  21. 110
  22. 4
  23. 46
  24. 140
  25. 377
  26. 55
  27. 188
  28. 17
  29. 143
  30. 250
  31. 140
  32. 105
  33. 230
  34. 462
  35. 56
  36. 49
  37. 72
  38. 64
  39. 3
  40. 348

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