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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 83 · 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 6 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has an area of 24 square cm. Its parallel sides are 19 cm and 5 cm. What is the distance between them (in cm)?
  3. 3.A trapezium has parallel sides of 21 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 16 cm and 27 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 30 cm and 19 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 24 cm and 13 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 261 square cm. Its parallel sides are 5 cm and 24 cm. What is the distance between them (in cm)?
  8. 8.A cuboid is 8 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has an area of 42 square cm. Its parallel sides are 17 cm and 25 cm. What is the distance between them (in cm)?
  10. 10.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has an area of 33 square cm. Its parallel sides are 13 cm and 9 cm. What is the distance between them (in cm)?
  12. 12.A cuboid is 6 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has an area of 312 square cm. Its parallel sides are 28 cm and 20 cm. What is the distance between them (in cm)?
  14. 14.A room is 12 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.A trapezium has parallel sides of 27 cm and 5 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  16. 16.A cuboid is 4 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  17. 17.A cuboid is 4 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 272 square cm. Its parallel sides are 27 cm and 5 cm. What is the distance between them (in cm)?
  19. 19.A room is 6 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  21. 21.A trapezium has an area of 190 square cm. Its parallel sides are 17 cm and 2 cm. What is the distance between them (in cm)?
  22. 22.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  23. 23.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 9 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 26 cm and 6 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  27. 27.The diagonals of a rhombus are 6 cm and 20 cm. What is its area (in square cm)?
  28. 28.The diagonals of a rhombus are 22 cm and 16 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 90 square cm. Its parallel sides are 19 cm and 26 cm. What is the distance between them (in cm)?
  30. 30.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  31. 31.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  32. 32.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  33. 33.A trapezium has parallel sides of 23 cm and 25 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 9 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  35. 35.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  36. 36.A cuboid is 4 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  37. 37.The diagonals of a rhombus are 8 cm and 9 cm. What is its area (in square cm)?
  38. 38.A cuboid is 13 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  40. 40.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?

Answer key

  1. 72
  2. 2
  3. 60
  4. 43
  5. 147
  6. 333
  7. 18
  8. 314
  9. 2
  10. 19
  11. 3
  12. 88
  13. 13
  14. 190
  15. 96
  16. 94
  17. 304
  18. 17
  19. 130
  20. 864
  21. 20
  22. 13
  23. 87
  24. 190
  25. 160
  26. 15
  27. 60
  28. 176
  29. 4
  30. 294
  31. 96
  32. 2
  33. 480
  34. 130
  35. 14
  36. 208
  37. 36
  38. 382
  39. 17
  40. 216

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