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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 12 · 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 22 cm. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 24 cm and 2 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  4. 4.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  5. 5.A cuboid is 6 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  6. 6.A cuboid is 10 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 17 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  8. 8.A cuboid is 5 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 4 cm and 28 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 21 cm and 6 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 14 cm and 26 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 25 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 14 cm and 13 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 22 cm and 29 cm. What is its area (in square cm)?
  15. 15.A trapezium has an area of 342 square cm. Its parallel sides are 29 cm and 28 cm. What is the distance between them (in cm)?
  16. 16.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  17. 17.A trapezium has parallel sides of 11 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  18. 18.The diagonals of a rhombus are 12 cm and 17 cm. What is its area (in square cm)?
  19. 19.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
  20. 20.A room is 11 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.A trapezium has an area of 75 square cm. Its parallel sides are 12 cm and 13 cm. What is the distance between them (in cm)?
  22. 22.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  23. 23.A cuboid is 13 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  25. 25.A cuboid is 8 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  26. 26.A trapezium has parallel sides of 20 cm and 28 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  27. 27.A trapezium has an area of 192 square cm. Its parallel sides are 25 cm and 7 cm. What is the distance between them (in cm)?
  28. 28.A cuboid is 15 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  30. 30.A cuboid is 5 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  31. 31.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  32. 32.The diagonals of a rhombus are 22 cm and 15 cm. What is its area (in square cm)?
  33. 33.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has an area of 104 square cm. Its parallel sides are 10 cm and 3 cm. What is the distance between them (in cm)?
  35. 35.A trapezium has parallel sides of 29 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 26 cm and 15 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 280 square cm. Its parallel sides are 24 cm and 11 cm. What is the distance between them (in cm)?
  38. 38.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  39. 39.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  40. 40.A cuboid is 12 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?

Answer key

  1. 2904
  2. 65
  3. 3
  4. 96
  5. 312
  6. 256
  7. 69
  8. 170
  9. 160
  10. 270
  11. 300
  12. 135
  13. 91
  14. 319
  15. 12
  16. 17
  17. 189
  18. 102
  19. 21
  20. 160
  21. 6
  22. 24
  23. 422
  24. 7
  25. 384
  26. 96
  27. 12
  28. 366
  29. 216
  30. 190
  31. 9
  32. 165
  33. 14
  34. 16
  35. 78
  36. 195
  37. 16
  38. 19
  39. 2646
  40. 392

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