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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 322 · 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 156 square cm. Its parallel sides are 11 cm and 28 cm. What is the distance between them (in cm)?
  2. 2.A trapezium has parallel sides of 7 cm and 6 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  3. 3.A trapezium has an area of 120 square cm. Its parallel sides are 12 cm and 28 cm. What is the distance between them (in cm)?
  4. 4.A cuboid is 8 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  5. 5.A cuboid is 11 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 15 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 26 cm and 7 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  9. 9.A cuboid is 9 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  10. 10.A trapezium has an area of 80 square cm. Its parallel sides are 23 cm and 9 cm. What is the distance between them (in cm)?
  11. 11.A cuboid is 15 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 221 square cm. Its parallel sides are 6 cm and 28 cm. What is the distance between them (in cm)?
  13. 13.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  14. 14.A room is 4 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.The diagonals of a rhombus are 12 cm and 19 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 14 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 243 square cm. Its parallel sides are 7 cm and 20 cm. What is the distance between them (in cm)?
  18. 18.A cuboid is 5 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  19. 19.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  20. 20.A cuboid is 4 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  21. 21.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  22. 22.A trapezium has an area of 472 square cm. Its parallel sides are 30 cm and 29 cm. What is the distance between them (in cm)?
  23. 23.The diagonals of a rhombus are 6 cm and 13 cm. What is its area (in square cm)?
  24. 24.A cuboid is 3 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  25. 25.The diagonals of a rhombus are 16 cm and 5 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 68 square cm. Its parallel sides are 28 cm and 6 cm. What is the distance between them (in cm)?
  28. 28.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  29. 29.A room is 3 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  30. 30.A room is 3 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 14 cm and 19 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
  33. 33.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has parallel sides of 9 cm and 19 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  35. 35.A cuboid is 14 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 14 cm and 26 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 8 cm and 19 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 7 cm and 5 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 203 square cm. Its parallel sides are 22 cm and 7 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has parallel sides of 23 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?

Answer key

  1. 8
  2. 78
  3. 6
  4. 264
  5. 638
  6. 123
  7. 91
  8. 19
  9. 398
  10. 5
  11. 310
  12. 13
  13. 2400
  14. 120
  15. 114
  16. 153
  17. 18
  18. 174
  19. 2646
  20. 122
  21. 2166
  22. 16
  23. 39
  24. 136
  25. 40
  26. 150
  27. 4
  28. 486
  29. 54
  30. 110
  31. 133
  32. 16
  33. 9
  34. 238
  35. 344
  36. 40
  37. 76
  38. 54
  39. 14
  40. 297

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