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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 2 · 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 115 square cm. Its parallel sides are 22 cm and 24 cm. What is the distance between them (in cm)?
  2. 2.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  3. 3.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  4. 4.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  5. 5.A cuboid is 14 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  6. 6.A cuboid is 8 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  7. 7.A cuboid is 6 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  8. 8.A trapezium has an area of 168 square cm. Its parallel sides are 12 cm and 9 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has parallel sides of 27 cm and 19 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  11. 11.A cuboid is 3 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 68 square cm. Its parallel sides are 6 cm and 11 cm. What is the distance between them (in cm)?
  13. 13.A trapezium has an area of 117 square cm. Its parallel sides are 15 cm and 24 cm. What is the distance between them (in cm)?
  14. 14.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  15. 15.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has an area of 323 square cm. Its parallel sides are 9 cm and 29 cm. What is the distance between them (in cm)?
  17. 17.A trapezium has parallel sides of 11 cm and 7 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  18. 18.The diagonals of a rhombus are 14 cm and 25 cm. What is its area (in square cm)?
  19. 19.The diagonals of a rhombus are 22 cm and 14 cm. What is its area (in square cm)?
  20. 20.A trapezium has an area of 351 square cm. Its parallel sides are 12 cm and 27 cm. What is the distance between them (in cm)?
  21. 21.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  22. 22.A room is 7 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has parallel sides of 27 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  24. 24.The diagonals of a rhombus are 24 cm and 8 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 34 square cm. Its parallel sides are 21 cm and 13 cm. What is the distance between them (in cm)?
  26. 26.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  27. 27.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  28. 28.A trapezium has an area of 80 square cm. Its parallel sides are 25 cm and 7 cm. What is the distance between them (in cm)?
  29. 29.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  30. 30.A trapezium has an area of 123 square cm. Its parallel sides are 23 cm and 18 cm. What is the distance between them (in cm)?
  31. 31.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has parallel sides of 24 cm and 8 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  33. 33.A cuboid is 15 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has an area of 231 square cm. Its parallel sides are 21 cm and 12 cm. What is the distance between them (in cm)?
  35. 35.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 6 cm and 12 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 90 square cm. Its parallel sides are 8 cm and 4 cm. What is the distance between them (in cm)?
  38. 38.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  39. 39.A trapezium has an area of 342 square cm. Its parallel sides are 24 cm and 14 cm. What is the distance between them (in cm)?
  40. 40.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?

Answer key

  1. 5
  2. 20
  3. 2
  4. 9
  5. 666
  6. 92
  7. 360
  8. 16
  9. 322
  10. 1350
  11. 242
  12. 8
  13. 6
  14. 4
  15. 13
  16. 17
  17. 108
  18. 175
  19. 154
  20. 18
  21. 726
  22. 78
  23. 333
  24. 96
  25. 2
  26. 6
  27. 17
  28. 5
  29. 1944
  30. 6
  31. 150
  32. 80
  33. 128
  34. 14
  35. 2904
  36. 171
  37. 15
  38. 42
  39. 18
  40. 1176

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