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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 232 · 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 parallel sides of 7 cm and 9 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  2. 2.The diagonals of a rhombus are 12 cm and 3 cm. What is its area (in square cm)?
  3. 3.A cuboid is 5 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  4. 4.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  5. 5.The diagonals of a rhombus are 20 cm and 7 cm. What is its area (in square cm)?
  6. 6.The diagonals of a rhombus are 24 cm and 25 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 16 cm and 4 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has an area of 343 square cm. Its parallel sides are 30 cm and 19 cm. What is the distance between them (in cm)?
  10. 10.A cuboid is 3 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  11. 11.A room is 10 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.A trapezium has parallel sides of 9 cm and 22 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  13. 13.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)?
  14. 14.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  15. 15.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  16. 16.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  17. 17.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
  18. 18.A trapezium has an area of 21 square cm. Its parallel sides are 7 cm and 14 cm. What is the distance between them (in cm)?
  19. 19.A trapezium has an area of 385 square cm. Its parallel sides are 25 cm and 30 cm. What is the distance between them (in cm)?
  20. 20.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.A cuboid is 14 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has an area of 264 square cm. Its parallel sides are 11 cm and 22 cm. What is the distance between them (in cm)?
  23. 23.A trapezium has parallel sides of 27 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  24. 24.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  25. 25.A cuboid is 11 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  26. 26.The diagonals of a rhombus are 22 cm and 23 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 6 cm and 26 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 26 cm and 27 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  29. 29.The diagonals of a rhombus are 10 cm and 28 cm. What is its area (in square cm)?
  30. 30.A cuboid is 3 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 12 cm and 10 cm. What is its area (in square cm)?
  32. 32.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
  34. 34.A cuboid is 12 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  35. 35.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  36. 36.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  37. 37.A trapezium has parallel sides of 19 cm and 7 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  38. 38.A trapezium has an area of 35 square cm. Its parallel sides are 9 cm and 26 cm. What is the distance between them (in cm)?
  39. 39.A cuboid is 7 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  40. 40.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?

Answer key

  1. 160
  2. 18
  3. 288
  4. 1014
  5. 70
  6. 300
  7. 20
  8. 2
  9. 14
  10. 158
  11. 78
  12. 93
  13. 150
  14. 4
  15. 35
  16. 96
  17. 161
  18. 2
  19. 14
  20. 66
  21. 344
  22. 16
  23. 29
  24. 54
  25. 200
  26. 253
  27. 160
  28. 477
  29. 140
  30. 54
  31. 60
  32. 96
  33. 120
  34. 552
  35. 15
  36. 80
  37. 221
  38. 2
  39. 166
  40. 150

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