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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 167 · 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 285 square cm. Its parallel sides are 11 cm and 19 cm. What is the distance between them (in cm)?
  2. 2.A trapezium has an area of 279 square cm. Its parallel sides are 25 cm and 6 cm. What is the distance between them (in cm)?
  3. 3.A trapezium has an area of 330 square cm. Its parallel sides are 20 cm and 24 cm. What is the distance between them (in cm)?
  4. 4.The diagonals of a rhombus are 16 cm and 18 cm. What is its area (in square cm)?
  5. 5.The diagonals of a rhombus are 22 cm and 14 cm. What is its area (in square cm)?
  6. 6.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 29 cm and 21 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 86 square cm. Its parallel sides are 17 cm and 26 cm. What is the distance between them (in cm)?
  9. 9.A cuboid is 9 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  10. 10.A trapezium has parallel sides of 13 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 10 cm and 18 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 13 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 21 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  14. 14.A trapezium has an area of 260 square cm. Its parallel sides are 27 cm and 25 cm. What is the distance between them (in cm)?
  15. 15.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  16. 16.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  17. 17.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has an area of 99 square cm. Its parallel sides are 9 cm and 2 cm. What is the distance between them (in cm)?
  19. 19.A trapezium has an area of 75 square cm. Its parallel sides are 10 cm and 5 cm. What is the distance between them (in cm)?
  20. 20.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  22. 22.A trapezium has an area of 195 square cm. Its parallel sides are 28 cm and 2 cm. What is the distance between them (in cm)?
  23. 23.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 30 cm and 26 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  25. 25.A room is 6 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has parallel sides of 30 cm and 10 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  27. 27.A cuboid is 8 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 10 cm and 16 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  29. 29.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  30. 30.A trapezium has an area of 410 square cm. Its parallel sides are 21 cm and 20 cm. What is the distance between them (in cm)?
  31. 31.A cuboid is 9 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has an area of 90 square cm. Its parallel sides are 26 cm and 19 cm. What is the distance between them (in cm)?
  33. 33.A trapezium has parallel sides of 29 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  34. 34.A room is 6 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  35. 35.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  36. 36.A trapezium has parallel sides of 28 cm and 16 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  37. 37.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has an area of 265 square cm. Its parallel sides are 25 cm and 28 cm. What is the distance between them (in cm)?
  39. 39.The diagonals of a rhombus are 30 cm and 19 cm. What is its area (in square cm)?
  40. 40.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 19
  2. 18
  3. 15
  4. 144
  5. 154
  6. 2166
  7. 125
  8. 4
  9. 146
  10. 66
  11. 126
  12. 186
  13. 147
  14. 10
  15. 10
  16. 3
  17. 90
  18. 18
  19. 10
  20. 1176
  21. 160
  22. 13
  23. 2646
  24. 504
  25. 90
  26. 140
  27. 404
  28. 234
  29. 12
  30. 20
  31. 258
  32. 4
  33. 318
  34. 72
  35. 4
  36. 396
  37. 102
  38. 10
  39. 285
  40. 90

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