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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 191 · 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.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.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  3. 3.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  5. 5.A cuboid is 9 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  6. 6.A cuboid is 12 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  7. 7.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  8. 8.A cuboid is 6 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 20 cm and 25 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  11. 11.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  12. 12.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  13. 13.The diagonals of a rhombus are 28 cm and 24 cm. What is its area (in square cm)?
  14. 14.A room is 4 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.A cuboid is 5 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has parallel sides of 9 cm and 4 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  17. 17.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  18. 18.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  19. 19.The diagonals of a rhombus are 12 cm and 20 cm. What is its area (in square cm)?
  20. 20.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  21. 21.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 6 cm and 10 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 16 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  25. 25.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  26. 26.A cuboid is 14 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 6 cm and 16 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  29. 29.The diagonals of a rhombus are 28 cm and 19 cm. What is its area (in square cm)?
  30. 30.The diagonals of a rhombus are 22 cm and 3 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 62 square cm. Its parallel sides are 15 cm and 16 cm. What is the distance between them (in cm)?
  32. 32.A cuboid is 15 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 185 square cm. Its parallel sides are 20 cm and 17 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has parallel sides of 22 cm and 11 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  35. 35.A trapezium has an area of 74 square cm. Its parallel sides are 14 cm and 23 cm. What is the distance between them (in cm)?
  36. 36.The diagonals of a rhombus are 26 cm and 5 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 65 square cm. Its parallel sides are 8 cm and 5 cm. What is the distance between them (in cm)?
  38. 38.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  40. 40.A cuboid is 13 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?

Answer key

  1. 96
  2. 15
  3. 72
  4. 216
  5. 246
  6. 352
  7. 2400
  8. 234
  9. 90
  10. 3456
  11. 108
  12. 3750
  13. 336
  14. 60
  15. 110
  16. 13
  17. 11
  18. 17
  19. 120
  20. 3174
  21. 108
  22. 30
  23. 80
  24. 205
  25. 486
  26. 292
  27. 187
  28. 14
  29. 266
  30. 33
  31. 4
  32. 306
  33. 10
  34. 330
  35. 4
  36. 65
  37. 10
  38. 54
  39. 3
  40. 352

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