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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 56 · 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.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 7 cm and 16 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  3. 3.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A trapezium has an area of 148 square cm. Its parallel sides are 10 cm and 27 cm. What is the distance between them (in cm)?
  5. 5.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  6. 6.A trapezium has an area of 44 square cm. Its parallel sides are 4 cm and 7 cm. What is the distance between them (in cm)?
  7. 7.A trapezium has parallel sides of 12 cm and 13 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  8. 8.A cuboid is 14 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 27 cm and 22 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 8 cm and 10 cm. What is its area (in square cm)?
  11. 11.A cuboid is 10 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  12. 12.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  13. 13.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  14. 14.A cuboid is 6 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  15. 15.A cuboid is 8 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  16. 16.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  17. 17.A trapezium has parallel sides of 17 cm and 23 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 11 cm and 18 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  19. 19.A trapezium has parallel sides of 16 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  20. 20.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  21. 21.A trapezium has an area of 245 square cm. Its parallel sides are 23 cm and 26 cm. What is the distance between them (in cm)?
  22. 22.A trapezium has an area of 117 square cm. Its parallel sides are 10 cm and 29 cm. What is the distance between them (in cm)?
  23. 23.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  24. 24.The diagonals of a rhombus are 28 cm and 6 cm. What is its area (in square cm)?
  25. 25.A cuboid is 10 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  26. 26.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  27. 27.A trapezium has parallel sides of 5 cm and 18 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 17 cm and 28 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  29. 29.A cuboid is 11 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  30. 30.A trapezium has an area of 72 square cm. Its parallel sides are 14 cm and 2 cm. What is the distance between them (in cm)?
  31. 31.A trapezium has parallel sides of 12 cm and 7 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  32. 32.A cuboid is 13 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  33. 33.The diagonals of a rhombus are 30 cm and 12 cm. What is its area (in square cm)?
  34. 34.A trapezium has an area of 175 square cm. Its parallel sides are 26 cm and 9 cm. What is the distance between them (in cm)?
  35. 35.A trapezium has parallel sides of 19 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?
  37. 37.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  38. 38.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has an area of 28 square cm. Its parallel sides are 7 cm and 21 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has an area of 306 square cm. Its parallel sides are 10 cm and 24 cm. What is the distance between them (in cm)?

Answer key

  1. 44
  2. 230
  3. 42
  4. 8
  5. 11
  6. 8
  7. 200
  8. 328
  9. 441
  10. 40
  11. 280
  12. 6
  13. 3
  14. 108
  15. 92
  16. 90
  17. 160
  18. 261
  19. 92
  20. 8
  21. 10
  22. 6
  23. 1734
  24. 84
  25. 136
  26. 7
  27. 161
  28. 225
  29. 208
  30. 9
  31. 57
  32. 270
  33. 180
  34. 10
  35. 33
  36. 27
  37. 144
  38. 2166
  39. 2
  40. 18

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