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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 262 · 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 124 square cm. Its parallel sides are 9 cm and 22 cm. What is the distance between them (in cm)?
  2. 2.A cuboid is 5 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  3. 3.A cuboid is 5 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  4. 4.A cuboid is 15 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  5. 5.A trapezium has parallel sides of 15 cm and 22 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  6. 6.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 27 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  8. 8.A cuboid is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has an area of 350 square cm. Its parallel sides are 27 cm and 8 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 18 cm and 7 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  12. 12.A trapezium has an area of 170 square cm. Its parallel sides are 7 cm and 27 cm. What is the distance between them (in cm)?
  13. 13.A cuboid is 6 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  14. 14.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  15. 15.The diagonals of a rhombus are 16 cm and 21 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 4 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  17. 17.A cuboid is 4 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 63 square cm. Its parallel sides are 14 cm and 4 cm. What is the distance between them (in cm)?
  19. 19.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  20. 20.A cuboid is 8 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 30 cm and 19 cm. What is its area (in square cm)?
  22. 22.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  23. 23.A cuboid is 13 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  25. 25.A trapezium has parallel sides of 4 cm and 25 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 16 cm and 9 cm. What is its area (in square cm)?
  27. 27.A cuboid is 4 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 6 cm and 7 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  29. 29.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.A trapezium has an area of 441 square cm. Its parallel sides are 22 cm and 27 cm. What is the distance between them (in cm)?
  31. 31.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has parallel sides of 7 cm and 15 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  33. 33.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  34. 34.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 15 cm and 26 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 27 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 9 cm and 5 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 12 cm and 23 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 11 cm and 3 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  40. 40.A trapezium has parallel sides of 10 cm and 14 cm, and the distance between them is 20 cm. What is its area (in square cm)?

Answer key

  1. 8
  2. 174
  3. 270
  4. 518
  5. 333
  6. 6
  7. 105
  8. 318
  9. 20
  10. 200
  11. 3
  12. 10
  13. 336
  14. 16
  15. 168
  16. 44
  17. 166
  18. 7
  19. 3174
  20. 256
  21. 285
  22. 9
  23. 586
  24. 17
  25. 87
  26. 72
  27. 168
  28. 78
  29. 130
  30. 18
  31. 72
  32. 55
  33. 3456
  34. 1350
  35. 410
  36. 150
  37. 133
  38. 138
  39. 105
  40. 240

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