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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 122 · 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.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 10 cm and 10 cm. What is its area (in square cm)?
  3. 3.A trapezium has an area of 203 square cm. Its parallel sides are 8 cm and 21 cm. What is the distance between them (in cm)?
  4. 4.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
  5. 5.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  6. 6.A trapezium has parallel sides of 13 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 8 cm and 2 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  9. 9.A cuboid is 3 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has parallel sides of 12 cm and 2 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  12. 12.A cuboid is 14 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  13. 13.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  14. 14.A cuboid is 15 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 325 square cm. Its parallel sides are 24 cm and 26 cm. What is the distance between them (in cm)?
  16. 16.A cuboid is 7 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  17. 17.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)?
  18. 18.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  19. 19.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  20. 20.A cuboid is 12 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 8 cm and 3 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  22. 22.A cuboid is 9 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  23. 23.A cuboid is 5 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  24. 24.A cuboid is 8 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  25. 25.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  26. 26.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  27. 27.A trapezium has an area of 510 square cm. Its parallel sides are 30 cm and 21 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has an area of 75 square cm. Its parallel sides are 18 cm and 7 cm. What is the distance between them (in cm)?
  29. 29.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.A trapezium has an area of 315 square cm. Its parallel sides are 23 cm and 12 cm. What is the distance between them (in cm)?
  31. 31.A trapezium has an area of 99 square cm. Its parallel sides are 7 cm and 11 cm. What is the distance between them (in cm)?
  32. 32.The diagonals of a rhombus are 20 cm and 25 cm. What is its area (in square cm)?
  33. 33.A cuboid is 6 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  34. 34.The diagonals of a rhombus are 6 cm and 17 cm. What is its area (in square cm)?
  35. 35.A cuboid is 3 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  36. 36.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  37. 37.A cuboid is 4 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 11 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 12 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  40. 40.A cuboid is 4 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?

Answer key

  1. 3174
  2. 50
  3. 14
  4. 44
  5. 17
  6. 108
  7. 40
  8. 19
  9. 102
  10. 2
  11. 77
  12. 458
  13. 11
  14. 468
  15. 13
  16. 82
  17. 126
  18. 13
  19. 96
  20. 396
  21. 77
  22. 124
  23. 280
  24. 268
  25. 216
  26. 8
  27. 20
  28. 6
  29. 112
  30. 18
  31. 11
  32. 250
  33. 438
  34. 51
  35. 114
  36. 140
  37. 160
  38. 150
  39. 62
  40. 288

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