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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 199 · 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.The diagonals of a rhombus are 24 cm and 10 cm. What is its area (in square cm)?
  2. 2.The diagonals of a rhombus are 16 cm and 11 cm. What is its area (in square cm)?
  3. 3.A cuboid is 7 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  4. 4.A cuboid is 12 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  5. 5.A trapezium has an area of 64 square cm. Its parallel sides are 27 cm and 5 cm. What is the distance between them (in cm)?
  6. 6.The diagonals of a rhombus are 6 cm and 9 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 29 square cm. Its parallel sides are 22 cm and 7 cm. What is the distance between them (in cm)?
  8. 8.A trapezium has parallel sides of 30 cm and 14 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 4 cm and 18 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 234 square cm. Its parallel sides are 12 cm and 27 cm. What is the distance between them (in cm)?
  11. 11.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  12. 12.A trapezium has parallel sides of 6 cm and 18 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  13. 13.A trapezium has an area of 133 square cm. Its parallel sides are 4 cm and 15 cm. What is the distance between them (in cm)?
  14. 14.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 44 square cm. Its parallel sides are 12 cm and 10 cm. What is the distance between them (in cm)?
  16. 16.A cuboid is 9 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  17. 17.A cuboid is 13 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  18. 18.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  20. 20.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  21. 21.A room is 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  22. 22.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 11 cm and 18 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  24. 24.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.A trapezium has parallel sides of 11 cm and 8 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  26. 26.A trapezium has an area of 240 square cm. Its parallel sides are 23 cm and 7 cm. What is the distance between them (in cm)?
  27. 27.A trapezium has parallel sides of 25 cm and 27 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 17 cm and 28 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 13 cm and 15 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  30. 30.A cuboid is 12 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 14 cm and 11 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 20 cm and 16 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 27 cm and 15 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  34. 34.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 18 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  36. 36.A cuboid is 3 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 27 cm and 26 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  39. 39.A room is 11 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  40. 40.A cuboid is 15 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?

Answer key

  1. 120
  2. 88
  3. 320
  4. 434
  5. 4
  6. 27
  7. 2
  8. 154
  9. 36
  10. 12
  11. 96
  12. 60
  13. 14
  14. 600
  15. 4
  16. 484
  17. 398
  18. 150
  19. 10
  20. 864
  21. 100
  22. 7
  23. 58
  24. 72
  25. 133
  26. 16
  27. 104
  28. 180
  29. 56
  30. 222
  31. 77
  32. 270
  33. 294
  34. 486
  35. 34
  36. 94
  37. 424
  38. 384
  39. 168
  40. 264

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