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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 6 · 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 245 square cm. Its parallel sides are 28 cm and 7 cm. What is the distance between them (in cm)?
  2. 2.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  3. 3.A cuboid is 10 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  4. 4.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  5. 5.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  6. 6.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  7. 7.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  8. 8.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  9. 9.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  10. 10.A trapezium has parallel sides of 25 cm and 16 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  11. 11.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 30 cm and 25 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  14. 14.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  15. 15.A trapezium has parallel sides of 28 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  16. 16.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.A room is 9 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.A cuboid is 6 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  19. 19.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.A cuboid is 13 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  21. 21.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 10 cm and 23 cm. What is its area (in square cm)?
  24. 24.A cuboid is 13 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  25. 25.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  26. 26.A room is 5 m long, 9 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 24 cm and 6 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  29. 29.A room is 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  30. 30.A trapezium has parallel sides of 10 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  31. 31.A cuboid is 4 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has an area of 204 square cm. Its parallel sides are 27 cm and 7 cm. What is the distance between them (in cm)?
  33. 33.The diagonals of a rhombus are 22 cm and 22 cm. What is its area (in square cm)?
  34. 34.A cuboid is 4 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.A cuboid is 3 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  36. 36.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  37. 37.A cuboid is 7 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has an area of 117 square cm. Its parallel sides are 5 cm and 21 cm. What is the distance between them (in cm)?
  39. 39.The diagonals of a rhombus are 10 cm and 9 cm. What is its area (in square cm)?
  40. 40.The diagonals of a rhombus are 16 cm and 10 cm. What is its area (in square cm)?

Answer key

  1. 14
  2. 15
  3. 332
  4. 7
  5. 3456
  6. 1350
  7. 17
  8. 3750
  9. 600
  10. 205
  11. 96
  12. 440
  13. 9
  14. 4
  15. 38
  16. 90
  17. 96
  18. 120
  19. 54
  20. 342
  21. 120
  22. 112
  23. 115
  24. 418
  25. 24
  26. 140
  27. 150
  28. 18
  29. 114
  30. 135
  31. 254
  32. 12
  33. 242
  34. 112
  35. 158
  36. 64
  37. 238
  38. 9
  39. 45
  40. 80

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