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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 193 · 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 cuboid is 14 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 11 cm and 16 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  3. 3.A cuboid is 15 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  4. 4.A trapezium has an area of 280 square cm. Its parallel sides are 28 cm and 12 cm. What is the distance between them (in cm)?
  5. 5.A trapezium has parallel sides of 14 cm and 29 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  6. 6.A room is 4 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.The diagonals of a rhombus are 28 cm and 5 cm. What is its area (in square cm)?
  8. 8.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  9. 9.A cuboid is 11 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  10. 10.A cuboid is 5 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  11. 11.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  12. 12.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
  13. 13.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  14. 14.A trapezium has parallel sides of 20 cm and 23 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 16 cm and 12 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  16. 16.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  17. 17.A trapezium has parallel sides of 9 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  18. 18.The diagonals of a rhombus are 24 cm and 9 cm. What is its area (in square cm)?
  19. 19.A trapezium has parallel sides of 15 cm and 5 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  20. 20.The diagonals of a rhombus are 14 cm and 18 cm. What is its area (in square cm)?
  21. 21.A cuboid is 5 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  22. 22.The diagonals of a rhombus are 14 cm and 20 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 16 cm and 18 cm. What is its area (in square cm)?
  24. 24.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  25. 25.A cuboid is 9 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  26. 26.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  27. 27.A cuboid is 8 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  28. 28.The diagonals of a rhombus are 18 cm and 4 cm. What is its area (in square cm)?
  29. 29.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  30. 30.A cuboid is 5 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  31. 31.A trapezium has an area of 204 square cm. Its parallel sides are 22 cm and 2 cm. What is the distance between them (in cm)?
  32. 32.The diagonals of a rhombus are 4 cm and 11 cm. What is its area (in square cm)?
  33. 33.A trapezium has an area of 324 square cm. Its parallel sides are 26 cm and 28 cm. What is the distance between them (in cm)?
  34. 34.A cuboid is 14 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  35. 35.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  36. 36.A cuboid is 6 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  37. 37.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  38. 38.A cuboid is 7 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  40. 40.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?

Answer key

  1. 488
  2. 243
  3. 474
  4. 14
  5. 344
  6. 60
  7. 70
  8. 90
  9. 550
  10. 104
  11. 4
  12. 96
  13. 96
  14. 301
  15. 154
  16. 600
  17. 46
  18. 108
  19. 190
  20. 126
  21. 146
  22. 140
  23. 144
  24. 150
  25. 560
  26. 1734
  27. 246
  28. 36
  29. 3456
  30. 214
  31. 17
  32. 22
  33. 12
  34. 700
  35. 112
  36. 148
  37. 13
  38. 202
  39. 14
  40. 3

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