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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 80 · 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 20 cm and 8 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  3. 3.A trapezium has parallel sides of 18 cm and 2 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  4. 4.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  5. 5.A cuboid is 11 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has an area of 93 square cm. Its parallel sides are 24 cm and 7 cm. What is the distance between them (in cm)?
  7. 7.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  8. 8.A trapezium has parallel sides of 11 cm and 5 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  9. 9.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  11. 11.A cuboid is 3 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 26 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  13. 13.A trapezium has an area of 80 square cm. Its parallel sides are 6 cm and 14 cm. What is the distance between them (in cm)?
  14. 14.A trapezium has parallel sides of 16 cm and 28 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  15. 15.The diagonals of a rhombus are 22 cm and 13 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  17. 17.A trapezium has an area of 13 square cm. Its parallel sides are 11 cm and 2 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has parallel sides of 9 cm and 23 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  19. 19.A cuboid is 5 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 26 cm and 24 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  22. 22.A room is 6 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  23. 23.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  25. 25.A trapezium has an area of 115 square cm. Its parallel sides are 8 cm and 15 cm. What is the distance between them (in cm)?
  26. 26.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  27. 27.A trapezium has parallel sides of 26 cm and 17 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  29. 29.A trapezium has an area of 37 square cm. Its parallel sides are 11 cm and 26 cm. What is the distance between them (in cm)?
  30. 30.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  31. 31.A trapezium has parallel sides of 17 cm and 5 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  32. 32.A room is 10 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.A trapezium has parallel sides of 24 cm and 19 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 24 cm and 14 cm. What is its area (in square cm)?
  35. 35.A room is 10 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has parallel sides of 5 cm and 11 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 9 cm and 27 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 13 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  39. 39.The diagonals of a rhombus are 10 cm and 17 cm. What is its area (in square cm)?
  40. 40.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?

Answer key

  1. 252
  2. 15
  3. 190
  4. 10
  5. 388
  6. 6
  7. 1734
  8. 152
  9. 72
  10. 5
  11. 342
  12. 90
  13. 8
  14. 418
  15. 143
  16. 14
  17. 2
  18. 288
  19. 76
  20. 50
  21. 1536
  22. 96
  23. 1944
  24. 6
  25. 10
  26. 130
  27. 344
  28. 4
  29. 2
  30. 3
  31. 66
  32. 120
  33. 215
  34. 168
  35. 102
  36. 56
  37. 270
  38. 23
  39. 85
  40. 16

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