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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 166 · 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 155 square cm. Its parallel sides are 4 cm and 27 cm. What is the distance between them (in cm)?
  2. 2.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  3. 3.A room is 11 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A cuboid is 5 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  5. 5.A trapezium has parallel sides of 21 cm and 11 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 380 square cm. Its parallel sides are 22 cm and 18 cm. What is the distance between them (in cm)?
  7. 7.The diagonals of a rhombus are 12 cm and 28 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 6 cm and 2 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 10 cm and 16 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 10 cm and 14 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  11. 11.A trapezium has an area of 36 square cm. Its parallel sides are 6 cm and 30 cm. What is the distance between them (in cm)?
  12. 12.A cuboid is 7 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has an area of 340 square cm. Its parallel sides are 14 cm and 20 cm. What is the distance between them (in cm)?
  14. 14.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.A room is 12 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  16. 16.The diagonals of a rhombus are 14 cm and 24 cm. What is its area (in square cm)?
  17. 17.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  18. 18.The diagonals of a rhombus are 14 cm and 27 cm. What is its area (in square cm)?
  19. 19.A cuboid is 12 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 23 cm and 8 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  21. 21.A room is 4 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.A room is 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 29 cm and 11 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  25. 25.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  26. 26.A trapezium has parallel sides of 8 cm and 12 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  27. 27.A trapezium has an area of 135 square cm. Its parallel sides are 11 cm and 19 cm. What is the distance between them (in cm)?
  28. 28.A cuboid is 13 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 80 square cm. Its parallel sides are 12 cm and 8 cm. What is the distance between them (in cm)?
  30. 30.A room is 6 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.The diagonals of a rhombus are 30 cm and 28 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 18 cm and 11 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  33. 33.A room is 11 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has an area of 115 square cm. Its parallel sides are 21 cm and 25 cm. What is the distance between them (in cm)?
  35. 35.A trapezium has parallel sides of 14 cm and 8 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  37. 37.A cuboid is 9 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has an area of 280 square cm. Its parallel sides are 29 cm and 6 cm. What is the distance between them (in cm)?
  39. 39.The diagonals of a rhombus are 20 cm and 12 cm. What is its area (in square cm)?
  40. 40.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?

Answer key

  1. 10
  2. 1734
  3. 108
  4. 94
  5. 320
  6. 19
  7. 168
  8. 60
  9. 80
  10. 120
  11. 2
  12. 214
  13. 20
  14. 110
  15. 168
  16. 168
  17. 96
  18. 189
  19. 188
  20. 310
  21. 80
  22. 114
  23. 2904
  24. 380
  25. 384
  26. 110
  27. 9
  28. 574
  29. 8
  30. 54
  31. 420
  32. 261
  33. 102
  34. 5
  35. 220
  36. 2
  37. 398
  38. 16
  39. 120
  40. 6

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