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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 51 · 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 10 cm and 22 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  3. 3.A trapezium has an area of 243 square cm. Its parallel sides are 15 cm and 12 cm. What is the distance between them (in cm)?
  4. 4.A trapezium has parallel sides of 12 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  5. 5.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  6. 6.A cuboid is 15 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  7. 7.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 23 cm and 5 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  10. 10.A cuboid is 12 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  11. 11.A trapezium has an area of 56 square cm. Its parallel sides are 7 cm and 21 cm. What is the distance between them (in cm)?
  12. 12.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 26 cm and 6 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  14. 14.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.A trapezium has parallel sides of 7 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  16. 16.The diagonals of a rhombus are 4 cm and 28 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 234 square cm. Its parallel sides are 27 cm and 12 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has an area of 400 square cm. Its parallel sides are 21 cm and 19 cm. What is the distance between them (in cm)?
  19. 19.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 6 cm and 14 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 24 cm and 5 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 20 cm and 22 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  23. 23.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 26 cm and 7 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 306 square cm. Its parallel sides are 28 cm and 23 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has parallel sides of 8 cm and 29 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  27. 27.A room is 12 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.A trapezium has parallel sides of 5 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  29. 29.A room is 5 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  30. 30.A room is 3 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  31. 31.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  32. 32.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  34. 34.A cuboid is 5 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  35. 35.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has parallel sides of 11 cm and 3 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  37. 37.A cuboid is 8 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 11 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 22 cm and 8 cm. What is its area (in square cm)?
  40. 40.A trapezium has an area of 180 square cm. Its parallel sides are 13 cm and 5 cm. What is the distance between them (in cm)?

Answer key

  1. 160
  2. 15
  3. 18
  4. 153
  5. 7
  6. 702
  7. 190
  8. 2400
  9. 182
  10. 300
  11. 4
  12. 216
  13. 176
  14. 120
  15. 198
  16. 56
  17. 12
  18. 20
  19. 3750
  20. 90
  21. 60
  22. 252
  23. 24
  24. 165
  25. 12
  26. 148
  27. 120
  28. 174
  29. 60
  30. 56
  31. 2
  32. 864
  33. 11
  34. 214
  35. 90
  36. 105
  37. 348
  38. 514
  39. 88
  40. 20

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