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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 247 · 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 4 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  3. 3.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A cuboid is 5 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  5. 5.The diagonals of a rhombus are 6 cm and 17 cm. What is its area (in square cm)?
  6. 6.A cuboid is 8 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 17 cm and 5 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  8. 8.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  9. 9.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  10. 10.A trapezium has parallel sides of 24 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  12. 12.A trapezium has an area of 115 square cm. Its parallel sides are 17 cm and 29 cm. What is the distance between them (in cm)?
  13. 13.The diagonals of a rhombus are 14 cm and 26 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 18 cm and 14 cm. What is its area (in square cm)?
  15. 15.A cuboid is 13 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 17 square cm. Its parallel sides are 4 cm and 13 cm. What is the distance between them (in cm)?
  17. 17.A trapezium has parallel sides of 7 cm and 23 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  18. 18.A trapezium has an area of 80 square cm. Its parallel sides are 15 cm and 5 cm. What is the distance between them (in cm)?
  19. 19.A trapezium has parallel sides of 21 cm and 5 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  20. 20.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  21. 21.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  22. 22.The diagonals of a rhombus are 18 cm and 7 cm. What is its area (in square cm)?
  23. 23.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  24. 24.A trapezium has an area of 104 square cm. Its parallel sides are 15 cm and 11 cm. What is the distance between them (in cm)?
  25. 25.A trapezium has parallel sides of 11 cm and 7 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 33 square cm. Its parallel sides are 4 cm and 2 cm. What is the distance between them (in cm)?
  28. 28.The diagonals of a rhombus are 8 cm and 26 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 217 square cm. Its parallel sides are 10 cm and 21 cm. What is the distance between them (in cm)?
  30. 30.A trapezium has parallel sides of 15 cm and 23 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  31. 31.A room is 9 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has parallel sides of 30 cm and 21 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 18 cm and 17 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  34. 34.A cuboid is 13 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.A cuboid is 9 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.A cuboid is 14 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  37. 37.A cuboid is 9 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  38. 38.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  40. 40.A cuboid is 11 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?

Answer key

  1. 70
  2. 10
  3. 48
  4. 238
  5. 51
  6. 382
  7. 143
  8. 150
  9. 17
  10. 153
  11. 4
  12. 5
  13. 182
  14. 126
  15. 582
  16. 2
  17. 105
  18. 8
  19. 26
  20. 11
  21. 2904
  22. 63
  23. 5
  24. 8
  25. 18
  26. 2166
  27. 11
  28. 104
  29. 14
  30. 171
  31. 114
  32. 408
  33. 35
  34. 292
  35. 256
  36. 322
  37. 212
  38. 130
  39. 96
  40. 278

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