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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 218 · 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 21 cm and 10 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  2. 2.A trapezium has an area of 60 square cm. Its parallel sides are 8 cm and 2 cm. What is the distance between them (in cm)?
  3. 3.A trapezium has parallel sides of 30 cm and 28 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  5. 5.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 16 cm and 10 cm. What is its area (in square cm)?
  7. 7.A cuboid is 10 cm long, 2 cm wide and 8 cm high. What is its total surface 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.A trapezium has an area of 117 square cm. Its parallel sides are 9 cm and 4 cm. What is the distance between them (in cm)?
  10. 10.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has an area of 165 square cm. Its parallel sides are 13 cm and 20 cm. What is the distance between them (in cm)?
  12. 12.A trapezium has an area of 204 square cm. Its parallel sides are 27 cm and 24 cm. What is the distance between them (in cm)?
  13. 13.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  14. 14.A trapezium has parallel sides of 16 cm and 19 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  15. 15.A cuboid is 15 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  16. 16.A cuboid is 9 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  17. 17.A room is 4 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  18. 18.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  19. 19.The diagonals of a rhombus are 12 cm and 4 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 26 cm and 2 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  22. 22.A cuboid is 15 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  23. 23.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.A cuboid is 5 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has parallel sides of 6 cm and 23 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  26. 26.A trapezium has an area of 31 square cm. Its parallel sides are 5 cm and 26 cm. What is the distance between them (in cm)?
  27. 27.A trapezium has an area of 288 square cm. Its parallel sides are 24 cm and 12 cm. What is the distance between them (in cm)?
  28. 28.A cuboid is 6 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  29. 29.The diagonals of a rhombus are 20 cm and 8 cm. What is its area (in square cm)?
  30. 30.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  31. 31.A cuboid is 12 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  32. 32.A cuboid is 15 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  33. 33.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has an area of 180 square cm. Its parallel sides are 18 cm and 6 cm. What is the distance between them (in cm)?
  36. 36.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 25 cm and 14 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  39. 39.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has parallel sides of 26 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?

Answer key

  1. 248
  2. 12
  3. 377
  4. 384
  5. 150
  6. 80
  7. 232
  8. 150
  9. 18
  10. 12
  11. 10
  12. 8
  13. 6
  14. 105
  15. 474
  16. 468
  17. 120
  18. 8
  19. 24
  20. 224
  21. 3750
  22. 342
  23. 72
  24. 230
  25. 58
  26. 2
  27. 16
  28. 136
  29. 80
  30. 24
  31. 162
  32. 378
  33. 102
  34. 96
  35. 15
  36. 90
  37. 486
  38. 156
  39. 66
  40. 45

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