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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 5 · 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 room is 8 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.A trapezium has an area of 39 square cm. Its parallel sides are 30 cm and 9 cm. What is the distance between them (in cm)?
  3. 3.A room is 10 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A trapezium has an area of 180 square cm. Its parallel sides are 30 cm and 10 cm. What is the distance between them (in cm)?
  5. 5.A cuboid is 5 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 20 cm and 18 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 14 cm and 29 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 18 cm and 8 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 56 square cm. Its parallel sides are 12 cm and 2 cm. What is the distance between them (in cm)?
  10. 10.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  11. 11.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.A trapezium has an area of 230 square cm. Its parallel sides are 21 cm and 2 cm. What is the distance between them (in cm)?
  13. 13.The diagonals of a rhombus are 24 cm and 29 cm. What is its area (in square cm)?
  14. 14.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 215 square cm. Its parallel sides are 17 cm and 26 cm. What is the distance between them (in cm)?
  16. 16.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  17. 17.A trapezium has an area of 289 square cm. Its parallel sides are 9 cm and 25 cm. What is the distance between them (in cm)?
  18. 18.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  19. 19.A trapezium has parallel sides of 26 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  20. 20.A cuboid is 9 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  21. 21.A room is 6 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  23. 23.A cuboid is 11 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 29 cm and 4 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 11 cm and 21 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  26. 26.A cuboid is 6 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 7 cm and 26 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  28. 28.A cuboid is 14 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has parallel sides of 23 cm and 4 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  30. 30.A trapezium has parallel sides of 6 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 16 cm and 9 cm. What is its area (in square cm)?
  32. 32.A cuboid is 11 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 198 square cm. Its parallel sides are 25 cm and 11 cm. What is the distance between them (in cm)?
  34. 34.The diagonals of a rhombus are 18 cm and 26 cm. What is its area (in square cm)?
  35. 35.A trapezium has an area of 195 square cm. Its parallel sides are 13 cm and 26 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has an area of 62 square cm. Its parallel sides are 9 cm and 22 cm. What is the distance between them (in cm)?
  37. 37.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 4 cm and 27 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 9 cm and 28 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  40. 40.A cuboid is 12 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?

Answer key

  1. 96
  2. 2
  3. 108
  4. 9
  5. 310
  6. 180
  7. 203
  8. 72
  9. 8
  10. 24
  11. 96
  12. 20
  13. 348
  14. 1350
  15. 10
  16. 384
  17. 17
  18. 2
  19. 231
  20. 228
  21. 66
  22. 216
  23. 506
  24. 231
  25. 80
  26. 376
  27. 297
  28. 568
  29. 216
  30. 45
  31. 72
  32. 178
  33. 11
  34. 234
  35. 10
  36. 4
  37. 60
  38. 54
  39. 148
  40. 434

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