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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 33 · 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 18 cm and 9 cm. What is its area (in square cm)?
  2. 2.A room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  4. 4.The diagonals of a rhombus are 18 cm and 6 cm. What is its area (in square cm)?
  5. 5.A trapezium has an area of 60 square cm. Its parallel sides are 9 cm and 15 cm. What is the distance between them (in cm)?
  6. 6.A cuboid is 14 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  7. 7.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  8. 8.A trapezium has an area of 28 square cm. Its parallel sides are 7 cm and 21 cm. What is the distance between them (in cm)?
  9. 9.The diagonals of a rhombus are 18 cm and 10 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 28 cm and 6 cm. What is its area (in square cm)?
  11. 11.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.A trapezium has an area of 30 square cm. Its parallel sides are 4 cm and 2 cm. What is the distance between them (in cm)?
  13. 13.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  14. 14.A trapezium has parallel sides of 7 cm and 25 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  15. 15.A cuboid is 3 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  16. 16.The diagonals of a rhombus are 14 cm and 4 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 4 cm and 24 cm. What is its area (in square cm)?
  18. 18.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  19. 19.The diagonals of a rhombus are 6 cm and 25 cm. What is its area (in square cm)?
  20. 20.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 12 cm and 25 cm. What is its area (in square cm)?
  22. 22.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has an area of 90 square cm. Its parallel sides are 28 cm and 8 cm. What is the distance between them (in cm)?
  24. 24.A trapezium has an area of 203 square cm. Its parallel sides are 7 cm and 22 cm. What is the distance between them (in cm)?
  25. 25.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  26. 26.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  27. 27.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 11 cm and 17 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 247 square cm. Its parallel sides are 15 cm and 23 cm. What is the distance between them (in cm)?
  30. 30.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  31. 31.A cuboid is 8 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 24 cm and 2 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 7 cm and 11 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 14 cm and 15 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 14 cm and 4 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  36. 36.A cuboid is 5 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  37. 37.A cuboid is 6 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 9 cm and 19 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 98 square cm. Its parallel sides are 8 cm and 6 cm. What is the distance between them (in cm)?
  40. 40.A cuboid is 7 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?

Answer key

  1. 81
  2. 128
  3. 12
  4. 54
  5. 5
  6. 712
  7. 17
  8. 2
  9. 90
  10. 84
  11. 84
  12. 10
  13. 7
  14. 320
  15. 72
  16. 28
  17. 48
  18. 294
  19. 75
  20. 150
  21. 150
  22. 19
  23. 5
  24. 14
  25. 6
  26. 2
  27. 1176
  28. 252
  29. 13
  30. 120
  31. 416
  32. 143
  33. 108
  34. 105
  35. 99
  36. 76
  37. 168
  38. 126
  39. 14
  40. 102

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