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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 70 · 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 trapezium has parallel sides of 24 cm and 12 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  2. 2.A cuboid is 6 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  3. 3.A cuboid is 5 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  4. 4.A trapezium has parallel sides of 8 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  6. 6.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  8. 8.A trapezium has parallel sides of 13 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 104 square cm. Its parallel sides are 23 cm and 29 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 22 cm and 19 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  11. 11.A cuboid is 11 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  12. 12.The diagonals of a rhombus are 26 cm and 23 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  14. 14.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  15. 15.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)?
  16. 16.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  17. 17.A room is 10 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  18. 18.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  19. 19.A cuboid is 13 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 24 cm and 6 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 6 cm and 22 cm. What is its area (in square cm)?
  22. 22.A trapezium has an area of 81 square cm. Its parallel sides are 15 cm and 12 cm. What is the distance between them (in cm)?
  23. 23.A cuboid is 12 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  24. 24.A trapezium has an area of 220 square cm. Its parallel sides are 16 cm and 6 cm. What is the distance between them (in cm)?
  25. 25.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  26. 26.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.A room is 9 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.The diagonals of a rhombus are 16 cm and 17 cm. What is its area (in square cm)?
  29. 29.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
  31. 31.A cuboid is 6 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 29 cm and 27 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  33. 33.A cuboid is 7 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.A cuboid is 10 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  35. 35.The diagonals of a rhombus are 18 cm and 10 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  37. 37.A room is 3 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 19 cm and 27 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  40. 40.The diagonals of a rhombus are 8 cm and 13 cm. What is its area (in square cm)?

Answer key

  1. 306
  2. 432
  3. 342
  4. 162
  5. 150
  6. 90
  7. 54
  8. 128
  9. 4
  10. 164
  11. 174
  12. 299
  13. 160
  14. 3750
  15. 58
  16. 24
  17. 130
  18. 726
  19. 718
  20. 225
  21. 66
  22. 6
  23. 594
  24. 20
  25. 4
  26. 136
  27. 190
  28. 136
  29. 120
  30. 288
  31. 88
  32. 196
  33. 136
  34. 448
  35. 90
  36. 10
  37. 110
  38. 600
  39. 345
  40. 52

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