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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 289 · 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 parallel sides of 11 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 9 cm and 27 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
  5. 5.A cuboid is 14 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  7. 7.The diagonals of a rhombus are 30 cm and 10 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 114 square cm. Its parallel sides are 9 cm and 10 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has parallel sides of 30 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 9 cm and 4 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  11. 11.A cuboid is 11 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  12. 12.A cuboid is 4 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has an area of 34 square cm. Its parallel sides are 12 cm and 5 cm. What is the distance between them (in cm)?
  14. 14.A cuboid is 10 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 25 cm and 17 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  16. 16.A cuboid is 3 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  17. 17.A trapezium has parallel sides of 23 cm and 7 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  18. 18.A cuboid is 12 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  19. 19.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.The diagonals of a rhombus are 14 cm and 30 cm. What is its area (in square cm)?
  21. 21.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 8 cm and 30 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  24. 24.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  25. 25.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  26. 26.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
  27. 27.A trapezium has an area of 93 square cm. Its parallel sides are 7 cm and 24 cm. What is the distance between them (in cm)?
  28. 28.The diagonals of a rhombus are 16 cm and 6 cm. What is its area (in square cm)?
  29. 29.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 16 cm and 26 cm. What is its area (in square cm)?
  31. 31.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  32. 32.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  33. 33.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.A cuboid is 6 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  35. 35.A cuboid is 13 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  36. 36.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.A trapezium has an area of 72 square cm. Its parallel sides are 4 cm and 8 cm. What is the distance between them (in cm)?
  38. 38.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  39. 39.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  40. 40.A trapezium has parallel sides of 11 cm and 8 cm, and the distance between them is 12 cm. What is its area (in square cm)?

Answer key

  1. 150
  2. 270
  3. 1176
  4. 6
  5. 436
  6. 16
  7. 150
  8. 12
  9. 94
  10. 13
  11. 304
  12. 124
  13. 4
  14. 514
  15. 315
  16. 216
  17. 30
  18. 548
  19. 96
  20. 210
  21. 90
  22. 20
  23. 209
  24. 10
  25. 294
  26. 21
  27. 6
  28. 48
  29. 2166
  30. 208
  31. 5
  32. 100
  33. 48
  34. 336
  35. 172
  36. 90
  37. 12
  38. 108
  39. 384
  40. 114

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