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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 107 · 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 19 cm. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 28 cm and 4 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  4. 4.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has an area of 140 square cm. Its parallel sides are 24 cm and 11 cm. What is the distance between them (in cm)?
  6. 6.A trapezium has an area of 164 square cm. Its parallel sides are 26 cm and 15 cm. What is the distance between them (in cm)?
  7. 7.The diagonals of a rhombus are 22 cm and 7 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 22 cm and 27 cm. What is its area (in square cm)?
  9. 9.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 14 cm and 19 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 5 cm and 22 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  12. 12.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has an area of 207 square cm. Its parallel sides are 19 cm and 4 cm. What is the distance between them (in cm)?
  14. 14.The diagonals of a rhombus are 30 cm and 16 cm. What is its area (in square cm)?
  15. 15.A cuboid is 11 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  16. 16.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  17. 17.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
  18. 18.A room is 12 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.The diagonals of a rhombus are 8 cm and 11 cm. What is its area (in square cm)?
  20. 20.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  21. 21.The diagonals of a rhombus are 12 cm and 4 cm. What is its area (in square cm)?
  22. 22.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has an area of 99 square cm. Its parallel sides are 8 cm and 25 cm. What is the distance between them (in cm)?
  24. 24.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  25. 25.The diagonals of a rhombus are 10 cm and 30 cm. What is its area (in square cm)?
  26. 26.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.The diagonals of a rhombus are 30 cm and 19 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 5 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  29. 29.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 22 cm and 22 cm. What is its area (in square cm)?
  31. 31.A trapezium has parallel sides of 27 cm and 12 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 10 cm and 18 cm. What is its area (in square cm)?
  33. 33.The diagonals of a rhombus are 22 cm and 19 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 24 cm and 9 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  35. 35.A cuboid is 12 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  36. 36.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  37. 37.A cuboid is 12 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 15 cm and 9 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 25 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  40. 40.A trapezium has an area of 13 square cm. Its parallel sides are 11 cm and 2 cm. What is the distance between them (in cm)?

Answer key

  1. 2166
  2. 56
  3. 6
  4. 486
  5. 8
  6. 8
  7. 77
  8. 297
  9. 1176
  10. 133
  11. 270
  12. 19
  13. 18
  14. 240
  15. 268
  16. 2646
  17. 96
  18. 190
  19. 44
  20. 96
  21. 24
  22. 16
  23. 6
  24. 15
  25. 150
  26. 54
  27. 285
  28. 138
  29. 1536
  30. 242
  31. 273
  32. 90
  33. 209
  34. 330
  35. 392
  36. 2904
  37. 384
  38. 240
  39. 315
  40. 2

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