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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 261 · 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, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.A trapezium has parallel sides of 18 cm and 16 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  3. 3.A trapezium has parallel sides of 22 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  4. 4.A trapezium has an area of 39 square cm. Its parallel sides are 21 cm and 5 cm. What is the distance between them (in cm)?
  5. 5.A cuboid is 5 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 24 cm and 15 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 136 square cm. Its parallel sides are 18 cm and 16 cm. What is the distance between them (in cm)?
  8. 8.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  9. 9.A cuboid is 3 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  10. 10.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  11. 11.The diagonals of a rhombus are 6 cm and 16 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  14. 14.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  15. 15.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  16. 16.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  17. 17.A cuboid is 8 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  19. 19.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has an area of 304 square cm. Its parallel sides are 23 cm and 9 cm. What is the distance between them (in cm)?
  21. 21.A trapezium has an area of 69 square cm. Its parallel sides are 8 cm and 15 cm. What is the distance between them (in cm)?
  22. 22.A cuboid is 8 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  23. 23.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  24. 24.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
  25. 25.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  26. 26.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  27. 27.The diagonals of a rhombus are 12 cm and 24 cm. What is its area (in square cm)?
  28. 28.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  29. 29.A cuboid is 3 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 18 cm and 26 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  31. 31.A trapezium has parallel sides of 25 cm and 24 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  32. 32.A cuboid is 9 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  34. 34.A room is 10 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.A trapezium has an area of 51 square cm. Its parallel sides are 18 cm and 16 cm. What is the distance between them (in cm)?
  36. 36.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  37. 37.A trapezium has parallel sides of 29 cm and 6 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has parallel sides of 16 cm and 15 cm, and the distance between them is 8 cm. What is its area (in square cm)?

Answer key

  1. 72
  2. 221
  3. 200
  4. 3
  5. 110
  6. 273
  7. 8
  8. 90
  9. 72
  10. 384
  11. 48
  12. 15
  13. 17
  14. 16
  15. 7
  16. 11
  17. 92
  18. 1014
  19. 72
  20. 19
  21. 6
  22. 184
  23. 10
  24. 112
  25. 60
  26. 3
  27. 144
  28. 160
  29. 162
  30. 352
  31. 98
  32. 212
  33. 2
  34. 190
  35. 3
  36. 110
  37. 245
  38. 96
  39. 15
  40. 124

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