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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 214 · 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 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.A cuboid is 11 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  3. 3.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has an area of 207 square cm. Its parallel sides are 19 cm and 4 cm. What is the distance between them (in cm)?
  5. 5.A trapezium has parallel sides of 14 cm and 27 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  6. 6.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 19 cm and 9 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 11 cm and 25 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  9. 9.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  10. 10.A trapezium has an area of 405 square cm. Its parallel sides are 16 cm and 29 cm. What is the distance between them (in cm)?
  11. 11.A trapezium has parallel sides of 5 cm and 4 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  12. 12.A cuboid is 14 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  13. 13.The diagonals of a rhombus are 26 cm and 30 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
  15. 15.A cuboid is 7 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  16. 16.A cuboid is 15 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  17. 17.A trapezium has parallel sides of 8 cm and 14 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 26 cm and 20 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  19. 19.A trapezium has parallel sides of 22 cm and 24 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  20. 20.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  21. 21.A cuboid is 7 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  22. 22.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  23. 23.A trapezium has an area of 198 square cm. Its parallel sides are 19 cm and 3 cm. What is the distance between them (in cm)?
  24. 24.A trapezium has parallel sides of 4 cm and 15 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  25. 25.A cuboid is 10 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  26. 26.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  27. 27.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  28. 28.A trapezium has an area of 247 square cm. Its parallel sides are 24 cm and 14 cm. What is the distance between them (in cm)?
  29. 29.A trapezium has parallel sides of 4 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  30. 30.A trapezium has an area of 60 square cm. Its parallel sides are 23 cm and 7 cm. What is the distance between them (in cm)?
  31. 31.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  32. 32.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 15 square cm. Its parallel sides are 13 cm and 2 cm. What is the distance between them (in cm)?
  34. 34.The diagonals of a rhombus are 18 cm and 12 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 10 cm and 8 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 18 cm and 10 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  37. 37.A cuboid is 8 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has an area of 154 square cm. Its parallel sides are 25 cm and 19 cm. What is the distance between them (in cm)?
  39. 39.A cuboid is 9 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  40. 40.A room is 3 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 88
  2. 478
  3. 11
  4. 18
  5. 246
  6. 16
  7. 210
  8. 270
  9. 18
  10. 18
  11. 54
  12. 608
  13. 390
  14. 104
  15. 100
  16. 538
  17. 220
  18. 115
  19. 299
  20. 3
  21. 344
  22. 600
  23. 18
  24. 57
  25. 448
  26. 8
  27. 3750
  28. 13
  29. 93
  30. 4
  31. 9
  32. 54
  33. 2
  34. 108
  35. 40
  36. 126
  37. 212
  38. 7
  39. 228
  40. 54

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