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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 81 · 40 sums
TalentJR

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 9 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has an area of 60 square cm. Its parallel sides are 17 cm and 23 cm. What is the distance between them (in cm)?
  3. 3.The diagonals of a rhombus are 4 cm and 12 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  5. 5.The diagonals of a rhombus are 24 cm and 28 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 8 cm and 15 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 24 cm and 15 cm. What is its area (in square cm)?
  8. 8.A cuboid is 8 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 15 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 376 square cm. Its parallel sides are 29 cm and 18 cm. What is the distance between them (in cm)?
  11. 11.A cuboid is 9 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  12. 12.A cuboid is 10 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 23 cm and 7 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 5 cm and 6 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  15. 15.The diagonals of a rhombus are 18 cm and 25 cm. What is its area (in square cm)?
  16. 16.A room is 11 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  17. 17.A trapezium has parallel sides of 7 cm and 23 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  18. 18.A room is 3 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 21 cm. What is its area (in square cm)?
  20. 20.The diagonals of a rhombus are 12 cm and 18 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  22. 22.A trapezium has parallel sides of 19 cm and 5 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  23. 23.A room is 7 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  24. 24.A cuboid is 13 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  25. 25.A cuboid is 6 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  26. 26.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
  27. 27.The diagonals of a rhombus are 16 cm and 27 cm. What is its area (in square cm)?
  28. 28.A room is 10 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.A trapezium has parallel sides of 6 cm and 12 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  30. 30.A trapezium has parallel sides of 10 cm and 24 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  32. 32.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  33. 33.A trapezium has parallel sides of 16 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  34. 34.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  35. 35.The diagonals of a rhombus are 12 cm and 29 cm. What is its area (in square cm)?
  36. 36.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.A trapezium has an area of 180 square cm. Its parallel sides are 14 cm and 6 cm. What is the distance between them (in cm)?
  38. 38.A room is 8 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.The diagonals of a rhombus are 18 cm and 9 cm. What is its area (in square cm)?
  40. 40.A trapezium has an area of 245 square cm. Its parallel sides are 29 cm and 6 cm. What is the distance between them (in cm)?

Answer key

  1. 254
  2. 3
  3. 24
  4. 864
  5. 336
  6. 207
  7. 180
  8. 212
  9. 95
  10. 16
  11. 370
  12. 514
  13. 150
  14. 77
  15. 225
  16. 170
  17. 300
  18. 100
  19. 84
  20. 108
  21. 6
  22. 120
  23. 140
  24. 542
  25. 312
  26. 60
  27. 216
  28. 102
  29. 81
  30. 170
  31. 216
  32. 3
  33. 84
  34. 96
  35. 174
  36. 54
  37. 18
  38. 140
  39. 81
  40. 14

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