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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 10 · 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 an area of 180 square cm. Its parallel sides are 4 cm and 14 cm. What is the distance between them (in cm)?
  2. 2.A trapezium has an area of 186 square cm. Its parallel sides are 28 cm and 3 cm. What is the distance between them (in cm)?
  3. 3.The diagonals of a rhombus are 26 cm and 26 cm. What is its area (in square cm)?
  4. 4.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has an area of 225 square cm. Its parallel sides are 19 cm and 11 cm. What is the distance between them (in cm)?
  6. 6.A cuboid is 8 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 18 cm and 6 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 10 cm and 21 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  9. 9.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  11. 11.A cuboid is 11 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  12. 12.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  13. 13.The diagonals of a rhombus are 24 cm and 21 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
  15. 15.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  16. 16.The diagonals of a rhombus are 6 cm and 26 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 371 square cm. Its parallel sides are 24 cm and 29 cm. What is the distance between them (in cm)?
  18. 18.A cuboid is 8 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  19. 19.A trapezium has an area of 369 square cm. Its parallel sides are 26 cm and 15 cm. What is the distance between them (in cm)?
  20. 20.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 8 cm and 5 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 15 cm and 7 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 27 cm and 24 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 9 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 272 square cm. Its parallel sides are 30 cm and 4 cm. What is the distance between them (in cm)?
  26. 26.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  27. 27.The diagonals of a rhombus are 10 cm and 8 cm. What is its area (in square cm)?
  28. 28.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 108 square cm. Its parallel sides are 4 cm and 14 cm. What is the distance between them (in cm)?
  30. 30.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.A trapezium has parallel sides of 25 cm and 30 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  32. 32.A trapezium has an area of 133 square cm. Its parallel sides are 17 cm and 2 cm. What is the distance between them (in cm)?
  33. 33.The diagonals of a rhombus are 10 cm and 16 cm. What is its area (in square cm)?
  34. 34.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  35. 35.The diagonals of a rhombus are 14 cm and 4 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 28 cm and 15 cm. What is its area (in square cm)?
  37. 37.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  38. 38.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  39. 39.A trapezium has parallel sides of 30 cm and 8 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  40. 40.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 20
  2. 12
  3. 338
  4. 90
  5. 15
  6. 484
  7. 54
  8. 124
  9. 54
  10. 96
  11. 358
  12. 216
  13. 252
  14. 30
  15. 12
  16. 78
  17. 14
  18. 72
  19. 18
  20. 2400
  21. 20
  22. 33
  23. 357
  24. 28
  25. 16
  26. 54
  27. 40
  28. 1536
  29. 12
  30. 180
  31. 495
  32. 14
  33. 80
  34. 14
  35. 28
  36. 210
  37. 18
  38. 20
  39. 361
  40. 136

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