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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 249 · 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 17 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  2. 2.A trapezium has an area of 221 square cm. Its parallel sides are 22 cm and 4 cm. What is the distance between them (in cm)?
  3. 3.A cuboid is 15 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  4. 4.A cuboid is 13 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  5. 5.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  6. 6.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  9. 9.A cuboid is 4 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  11. 11.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  12. 12.A cuboid is 6 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  13. 13.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  14. 14.A trapezium has an area of 472 square cm. Its parallel sides are 30 cm and 29 cm. What is the distance between them (in cm)?
  15. 15.A cuboid is 15 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 156 square cm. Its parallel sides are 18 cm and 21 cm. What is the distance between them (in cm)?
  17. 17.A trapezium has parallel sides of 16 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  18. 18.The diagonals of a rhombus are 24 cm and 20 cm. What is its area (in square cm)?
  19. 19.The diagonals of a rhombus are 14 cm and 13 cm. What is its area (in square cm)?
  20. 20.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  21. 21.A cuboid is 10 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  22. 22.A room is 9 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has parallel sides of 10 cm and 5 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 15 cm and 10 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  26. 26.A trapezium has an area of 360 square cm. Its parallel sides are 15 cm and 30 cm. What is the distance between them (in cm)?
  27. 27.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  28. 28.A cuboid is 12 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  29. 29.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  30. 30.A cuboid is 4 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 7 cm and 22 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  32. 32.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has parallel sides of 8 cm and 4 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 25 cm and 21 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 27 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  37. 37.A cuboid is 6 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 11 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 11 cm and 5 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  40. 40.A trapezium has parallel sides of 13 cm and 10 cm, and the distance between them is 14 cm. What is its area (in square cm)?

Answer key

  1. 188
  2. 17
  3. 378
  4. 206
  5. 2904
  6. 48
  7. 70
  8. 2
  9. 232
  10. 10
  11. 54
  12. 344
  13. 150
  14. 16
  15. 196
  16. 8
  17. 161
  18. 240
  19. 91
  20. 6
  21. 242
  22. 114
  23. 105
  24. 175
  25. 13
  26. 16
  27. 294
  28. 636
  29. 3
  30. 164
  31. 203
  32. 3174
  33. 17
  34. 54
  35. 460
  36. 74
  37. 370
  38. 478
  39. 24
  40. 161

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