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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 230 · 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.The diagonals of a rhombus are 8 cm and 28 cm. What is its area (in square cm)?
  2. 2.A cuboid is 10 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 105 square cm. Its parallel sides are 5 cm and 30 cm. What is the distance between them (in cm)?
  4. 4.A trapezium has parallel sides of 10 cm and 23 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 25 cm and 19 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  6. 6.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has an area of 207 square cm. Its parallel sides are 26 cm and 20 cm. What is the distance between them (in cm)?
  8. 8.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 10 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 133 square cm. Its parallel sides are 10 cm and 9 cm. What is the distance between them (in cm)?
  11. 11.A cuboid is 7 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  12. 12.The diagonals of a rhombus are 16 cm and 25 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 18 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
  15. 15.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.A room is 12 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  18. 18.A cuboid is 6 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  19. 19.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  20. 20.A cuboid is 4 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  21. 21.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.A trapezium has an area of 84 square cm. Its parallel sides are 25 cm and 3 cm. What is the distance between them (in cm)?
  23. 23.A trapezium has parallel sides of 17 cm and 3 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  24. 24.The diagonals of a rhombus are 22 cm and 6 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  26. 26.A cuboid is 9 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  27. 27.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  28. 28.A trapezium has parallel sides of 14 cm and 13 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  29. 29.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  30. 30.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
  31. 31.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.The diagonals of a rhombus are 8 cm and 21 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 7 cm and 16 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  34. 34.A trapezium has an area of 234 square cm. Its parallel sides are 21 cm and 18 cm. What is the distance between them (in cm)?
  35. 35.A cuboid is 6 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 25 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 8 cm and 6 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 6 cm and 18 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 343 square cm. Its parallel sides are 28 cm and 21 cm. What is the distance between them (in cm)?
  40. 40.The diagonals of a rhombus are 28 cm and 29 cm. What is its area (in square cm)?

Answer key

  1. 112
  2. 256
  3. 6
  4. 330
  5. 132
  6. 294
  7. 9
  8. 1734
  9. 39
  10. 14
  11. 318
  12. 200
  13. 63
  14. 44
  15. 114
  16. 144
  17. 216
  18. 264
  19. 2646
  20. 136
  21. 48
  22. 6
  23. 90
  24. 66
  25. 4
  26. 256
  27. 3
  28. 81
  29. 9
  30. 96
  31. 144
  32. 84
  33. 161
  34. 12
  35. 152
  36. 243
  37. 24
  38. 54
  39. 14
  40. 406

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