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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 31 · 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 243 square cm. Its parallel sides are 19 cm and 8 cm. What is the distance between them (in cm)?
  2. 2.A room is 12 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  3. 3.A trapezium has parallel sides of 17 cm and 5 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  5. 5.The diagonals of a rhombus are 28 cm and 15 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 9 cm and 18 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 186 square cm. Its parallel sides are 13 cm and 18 cm. What is the distance between them (in cm)?
  8. 8.A cuboid is 8 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  9. 9.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.A cuboid is 5 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 11 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 23 cm and 29 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  14. 14.The diagonals of a rhombus are 20 cm and 19 cm. What is its area (in square cm)?
  15. 15.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  16. 16.A trapezium has parallel sides of 9 cm and 5 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  17. 17.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  18. 18.A room is 6 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.A cuboid is 13 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  20. 20.The diagonals of a rhombus are 28 cm and 20 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  22. 22.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has an area of 102 square cm. Its parallel sides are 27 cm and 24 cm. What is the distance between them (in cm)?
  24. 24.A trapezium has parallel sides of 5 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  26. 26.A trapezium has an area of 70 square cm. Its parallel sides are 4 cm and 24 cm. What is the distance between them (in cm)?
  27. 27.The diagonals of a rhombus are 20 cm and 11 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  29. 29.A cuboid is 5 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 14 cm and 19 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 340 square cm. Its parallel sides are 4 cm and 30 cm. What is the distance between them (in cm)?
  32. 32.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
  33. 33.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has parallel sides of 30 cm and 6 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  35. 35.A trapezium has an area of 78 square cm. Its parallel sides are 11 cm and 2 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has an area of 228 square cm. Its parallel sides are 25 cm and 13 cm. What is the distance between them (in cm)?
  37. 37.A cuboid is 15 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 23 cm and 5 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 250 square cm. Its parallel sides are 26 cm and 24 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has an area of 30 square cm. Its parallel sides are 25 cm and 5 cm. What is the distance between them (in cm)?

Answer key

  1. 18
  2. 210
  3. 121
  4. 3174
  5. 210
  6. 189
  7. 12
  8. 262
  9. 42
  10. 258
  11. 27
  12. 338
  13. 19
  14. 190
  15. 2166
  16. 77
  17. 13
  18. 90
  19. 718
  20. 280
  21. 15
  22. 136
  23. 4
  24. 150
  25. 11
  26. 5
  27. 110
  28. 3
  29. 76
  30. 264
  31. 20
  32. 32
  33. 9
  34. 234
  35. 12
  36. 12
  37. 270
  38. 154
  39. 10
  40. 2

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