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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 137 · 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 28 square cm. Its parallel sides are 5 cm and 3 cm. What is the distance between them (in cm)?
  2. 2.The diagonals of a rhombus are 4 cm and 18 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has parallel sides of 29 cm and 13 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  5. 5.A trapezium has an area of 63 square cm. Its parallel sides are 27 cm and 15 cm. What is the distance between them (in cm)?
  6. 6.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 12 cm and 6 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has an area of 65 square cm. Its parallel sides are 4 cm and 6 cm. What is the distance between them (in cm)?
  10. 10.A cuboid is 13 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  11. 11.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 10 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  13. 13.A cuboid is 5 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  14. 14.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.A cuboid is 15 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 74 square cm. Its parallel sides are 7 cm and 30 cm. What is the distance between them (in cm)?
  17. 17.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has parallel sides of 20 cm and 21 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  19. 19.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has parallel sides of 11 cm and 15 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  22. 22.A trapezium has parallel sides of 22 cm and 7 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  23. 23.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  24. 24.A room is 9 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.A trapezium has an area of 185 square cm. Its parallel sides are 30 cm and 7 cm. What is the distance between them (in cm)?
  26. 26.A cuboid is 4 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 21 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  29. 29.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  30. 30.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.A trapezium has an area of 140 square cm. Its parallel sides are 8 cm and 20 cm. What is the distance between them (in cm)?
  32. 32.A trapezium has an area of 289 square cm. Its parallel sides are 27 cm and 7 cm. What is the distance between them (in cm)?
  33. 33.A cuboid is 7 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.A cuboid is 5 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
  35. 35.The diagonals of a rhombus are 10 cm and 30 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  37. 37.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  38. 38.A cuboid is 4 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  39. 39.A cuboid is 10 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
  40. 40.A trapezium has an area of 195 square cm. Its parallel sides are 12 cm and 14 cm. What is the distance between them (in cm)?

Answer key

  1. 7
  2. 36
  3. 3
  4. 357
  5. 3
  6. 5
  7. 135
  8. 4
  9. 13
  10. 542
  11. 54
  12. 33
  13. 392
  14. 170
  15. 350
  16. 4
  17. 72
  18. 41
  19. 8
  20. 52
  21. 1536
  22. 232
  23. 180
  24. 112
  25. 10
  26. 80
  27. 330
  28. 9
  29. 2904
  30. 60
  31. 10
  32. 17
  33. 190
  34. 262
  35. 150
  36. 19
  37. 14
  38. 384
  39. 340
  40. 15

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