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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 68 · 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 cuboid is 4 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 30 cm and 6 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  4. 4.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has an area of 78 square cm. Its parallel sides are 6 cm and 7 cm. What is the distance between them (in cm)?
  6. 6.A trapezium has parallel sides of 30 cm and 25 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 24 cm and 7 cm. What is its area (in square cm)?
  8. 8.A cuboid is 14 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 15 cm and 3 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 8 cm and 14 cm. What is its area (in square cm)?
  11. 11.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 324 square cm. Its parallel sides are 23 cm and 13 cm. What is the distance between them (in cm)?
  13. 13.A room is 12 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  14. 14.A cuboid is 12 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 184 square cm. Its parallel sides are 17 cm and 6 cm. What is the distance between them (in cm)?
  16. 16.A trapezium has parallel sides of 29 cm and 11 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 8 cm and 25 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 18 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  19. 19.The diagonals of a rhombus are 20 cm and 8 cm. What is its area (in square cm)?
  20. 20.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.A trapezium has parallel sides of 21 cm and 12 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  22. 22.A cuboid is 9 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  23. 23.A cuboid is 11 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  24. 24.A cuboid is 13 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has parallel sides of 13 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  26. 26.A cuboid is 14 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 48 square cm. Its parallel sides are 6 cm and 2 cm. What is the distance between them (in cm)?
  28. 28.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 81 square cm. Its parallel sides are 19 cm and 8 cm. What is the distance between them (in cm)?
  30. 30.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  31. 31.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  32. 32.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  33. 33.A trapezium has parallel sides of 17 cm and 28 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  34. 34.A trapezium has an area of 424 square cm. Its parallel sides are 27 cm and 26 cm. What is the distance between them (in cm)?
  35. 35.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.A cuboid is 15 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  37. 37.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  38. 38.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  39. 39.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  40. 40.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?

Answer key

  1. 220
  2. 90
  3. 2400
  4. 130
  5. 12
  6. 330
  7. 84
  8. 700
  9. 27
  10. 56
  11. 24
  12. 18
  13. 126
  14. 372
  15. 16
  16. 40
  17. 100
  18. 34
  19. 80
  20. 102
  21. 297
  22. 342
  23. 200
  24. 240
  25. 231
  26. 280
  27. 12
  28. 600
  29. 6
  30. 294
  31. 1536
  32. 2166
  33. 405
  34. 16
  35. 150
  36. 128
  37. 17
  38. 216
  39. 152
  40. 4

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