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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 253 · 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 25 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  2. 2.A room is 7 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.A trapezium has an area of 153 square cm. Its parallel sides are 5 cm and 13 cm. What is the distance between them (in cm)?
  4. 4.A trapezium has an area of 80 square cm. Its parallel sides are 5 cm and 27 cm. What is the distance between them (in cm)?
  5. 5.A cuboid is 3 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  6. 6.A cuboid is 3 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 4 cm and 20 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 9 square cm. Its parallel sides are 6 cm and 3 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has parallel sides of 12 cm and 13 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  10. 10.A cuboid is 13 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 15 cm and 8 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 25 cm and 29 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 8 cm and 17 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 8 cm and 9 cm. What is its area (in square cm)?
  15. 15.A trapezium has an area of 30 square cm. Its parallel sides are 9 cm and 6 cm. What is the distance between them (in cm)?
  16. 16.A cuboid is 9 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  17. 17.A trapezium has parallel sides of 30 cm and 26 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  18. 18.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 6 cm and 4 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  20. 20.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.A trapezium has an area of 225 square cm. Its parallel sides are 27 cm and 23 cm. What is the distance between them (in cm)?
  22. 22.A trapezium has an area of 66 square cm. Its parallel sides are 25 cm and 8 cm. What is the distance between them (in cm)?
  23. 23.A cuboid is 10 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.A room is 4 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A cuboid is 13 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  27. 27.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  29. 29.A trapezium has parallel sides of 7 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  30. 30.A trapezium has an area of 99 square cm. Its parallel sides are 26 cm and 7 cm. What is the distance between them (in cm)?
  31. 31.A trapezium has parallel sides of 6 cm and 21 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  32. 32.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  33. 33.A trapezium has an area of 315 square cm. Its parallel sides are 30 cm and 15 cm. What is the distance between them (in cm)?
  34. 34.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  36. 36.A trapezium has an area of 27 square cm. Its parallel sides are 16 cm and 2 cm. What is the distance between them (in cm)?
  37. 37.A cuboid is 9 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 8 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  40. 40.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 258
  2. 128
  3. 17
  4. 5
  5. 42
  6. 62
  7. 156
  8. 2
  9. 175
  10. 454
  11. 230
  12. 351
  13. 68
  14. 36
  15. 4
  16. 484
  17. 560
  18. 3750
  19. 30
  20. 72
  21. 9
  22. 4
  23. 304
  24. 70
  25. 90
  26. 366
  27. 160
  28. 1536
  29. 52
  30. 6
  31. 27
  32. 3
  33. 14
  34. 110
  35. 9
  36. 3
  37. 80
  38. 312
  39. 5
  40. 80

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