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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 312 · 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.The diagonals of a rhombus are 22 cm and 30 cm. What is its area (in square cm)?
  2. 2.A cuboid is 6 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has parallel sides of 6 cm and 19 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  4. 4.The diagonals of a rhombus are 24 cm and 9 cm. What is its area (in square cm)?
  5. 5.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  6. 6.The diagonals of a rhombus are 10 cm and 4 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 5 cm and 4 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 27 cm and 26 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  9. 9.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  10. 10.A cuboid is 13 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  11. 11.The diagonals of a rhombus are 22 cm and 19 cm. What is its area (in square cm)?
  12. 12.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  13. 13.The diagonals of a rhombus are 28 cm and 27 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 18 cm and 15 cm. What is its area (in square cm)?
  15. 15.A cuboid is 10 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  16. 16.The diagonals of a rhombus are 26 cm and 4 cm. What is its area (in square cm)?
  17. 17.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.The diagonals of a rhombus are 4 cm and 14 cm. What is its area (in square cm)?
  19. 19.A trapezium has parallel sides of 30 cm and 2 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  20. 20.A cuboid is 10 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  21. 21.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.A room is 10 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has parallel sides of 22 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  24. 24.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  25. 25.The diagonals of a rhombus are 20 cm and 11 cm. What is its area (in square cm)?
  26. 26.A room is 12 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.A trapezium has an area of 132 square cm. Its parallel sides are 5 cm and 28 cm. What is the distance between them (in cm)?
  28. 28.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.The diagonals of a rhombus are 8 cm and 21 cm. What is its area (in square cm)?
  30. 30.A room is 10 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.The diagonals of a rhombus are 16 cm and 16 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 4 cm and 24 cm. What is its area (in square cm)?
  33. 33.A cuboid is 7 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  34. 34.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has an area of 17 square cm. Its parallel sides are 5 cm and 12 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has an area of 75 square cm. Its parallel sides are 16 cm and 9 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has an area of 28 square cm. Its parallel sides are 11 cm and 3 cm. What is the distance between them (in cm)?
  38. 38.A cuboid is 10 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 28 cm and 29 cm. What is its area (in square cm)?
  40. 40.The diagonals of a rhombus are 22 cm and 7 cm. What is its area (in square cm)?

Answer key

  1. 330
  2. 72
  3. 175
  4. 108
  5. 15
  6. 20
  7. 27
  8. 477
  9. 864
  10. 142
  11. 209
  12. 486
  13. 378
  14. 135
  15. 164
  16. 52
  17. 96
  18. 28
  19. 160
  20. 216
  21. 136
  22. 140
  23. 210
  24. 4
  25. 110
  26. 132
  27. 8
  28. 140
  29. 84
  30. 180
  31. 128
  32. 48
  33. 190
  34. 2
  35. 2
  36. 6
  37. 4
  38. 294
  39. 406
  40. 77

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