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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 52 · 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 cuboid is 8 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 16 cm and 9 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  3. 3.A trapezium has parallel sides of 27 cm and 22 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  4. 4.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  5. 5.A trapezium has parallel sides of 24 cm and 16 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 161 square cm. Its parallel sides are 21 cm and 25 cm. What is the distance between them (in cm)?
  7. 7.A trapezium has an area of 171 square cm. Its parallel sides are 18 cm and 20 cm. What is the distance between them (in cm)?
  8. 8.A trapezium has an area of 30 square cm. Its parallel sides are 10 cm and 2 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has an area of 31 square cm. Its parallel sides are 23 cm and 8 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has an area of 54 square cm. Its parallel sides are 7 cm and 20 cm. What is the distance between them (in cm)?
  11. 11.A room is 4 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 parallel sides of 26 cm and 2 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  14. 14.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  15. 15.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  16. 16.A trapezium has parallel sides of 4 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  17. 17.A room is 10 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.A cuboid is 8 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has parallel sides of 9 cm and 27 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  21. 21.A trapezium has an area of 240 square cm. Its parallel sides are 9 cm and 15 cm. What is the distance between them (in cm)?
  22. 22.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  23. 23.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  24. 24.A cuboid is 14 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  25. 25.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.The diagonals of a rhombus are 16 cm and 16 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 24 cm and 16 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 7 cm and 11 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  29. 29.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  30. 30.A cuboid is 4 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  31. 31.A cuboid is 13 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has an area of 93 square cm. Its parallel sides are 20 cm and 11 cm. What is the distance between them (in cm)?
  33. 33.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  34. 34.A room is 9 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.A trapezium has an area of 279 square cm. Its parallel sides are 25 cm and 6 cm. What is the distance between them (in cm)?
  36. 36.A cuboid is 5 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  37. 37.The diagonals of a rhombus are 28 cm and 17 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 25 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 247 square cm. Its parallel sides are 26 cm and 12 cm. What is the distance between them (in cm)?
  40. 40.A cuboid is 13 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?

Answer key

  1. 160
  2. 175
  3. 490
  4. 5
  5. 120
  6. 7
  7. 9
  8. 5
  9. 2
  10. 4
  11. 84
  12. 182
  13. 10
  14. 96
  15. 1944
  16. 168
  17. 108
  18. 280
  19. 18
  20. 180
  21. 20
  22. 726
  23. 600
  24. 376
  25. 64
  26. 128
  27. 340
  28. 162
  29. 19
  30. 88
  31. 238
  32. 6
  33. 2646
  34. 180
  35. 18
  36. 430
  37. 238
  38. 315
  39. 13
  40. 376

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