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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 317 · 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 495 square cm. Its parallel sides are 25 cm and 30 cm. What is the distance between them (in cm)?
  2. 2.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  3. 3.A trapezium has parallel sides of 23 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  4. 4.A trapezium has an area of 63 square cm. Its parallel sides are 28 cm and 14 cm. What is the distance between them (in cm)?
  5. 5.A room is 10 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  6. 6.A cuboid is 9 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  7. 7.A cuboid is 10 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  8. 8.A trapezium has parallel sides of 7 cm and 5 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 245 square cm. Its parallel sides are 26 cm and 9 cm. What is the distance between them (in cm)?
  10. 10.A room is 6 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 7 cm and 17 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  13. 13.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has an area of 42 square cm. Its parallel sides are 8 cm and 13 cm. What is the distance between them (in cm)?
  15. 15.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  16. 16.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  18. 18.A room is 9 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  20. 20.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  21. 21.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
  22. 22.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  23. 23.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  24. 24.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.A trapezium has parallel sides of 18 cm and 3 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 16 cm and 7 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 6 cm and 19 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  28. 28.The diagonals of a rhombus are 10 cm and 21 cm. What is its area (in square cm)?
  29. 29.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  30. 30.A cuboid is 11 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 15 cm and 30 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  32. 32.A cuboid is 13 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  33. 33.A room is 9 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?
  35. 35.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  36. 36.The diagonals of a rhombus are 6 cm and 26 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 100 square cm. Its parallel sides are 30 cm and 10 cm. What is the distance between them (in cm)?
  38. 38.A cuboid is 7 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  40. 40.The diagonals of a rhombus are 6 cm and 19 cm. What is its area (in square cm)?

Answer key

  1. 18
  2. 12
  3. 129
  4. 3
  5. 180
  6. 300
  7. 636
  8. 114
  9. 14
  10. 140
  11. 1176
  12. 180
  13. 104
  14. 4
  15. 54
  16. 72
  17. 14
  18. 114
  19. 486
  20. 15
  21. 120
  22. 143
  23. 16
  24. 160
  25. 105
  26. 184
  27. 150
  28. 105
  29. 10
  30. 640
  31. 225
  32. 718
  33. 90
  34. 81
  35. 80
  36. 78
  37. 5
  38. 378
  39. 3
  40. 57

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