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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 148 · 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 13 cm and 20 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 10 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  3. 3.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.A cuboid is 5 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 26 cm and 5 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 22 cm and 29 cm. What is its area (in square cm)?
  8. 8.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  9. 9.A trapezium has an area of 91 square cm. Its parallel sides are 9 cm and 4 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 29 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  11. 11.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  12. 12.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  13. 13.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  14. 14.A cuboid is 6 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  15. 15.A cuboid is 13 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 174 square cm. Its parallel sides are 9 cm and 20 cm. What is the distance between them (in cm)?
  17. 17.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  18. 18.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 8 cm and 2 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 29 cm and 28 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  21. 21.A cuboid is 8 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has parallel sides of 30 cm and 8 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  23. 23.A trapezium has an area of 102 square cm. Its parallel sides are 6 cm and 11 cm. What is the distance between them (in cm)?
  24. 24.A trapezium has an area of 234 square cm. Its parallel sides are 9 cm and 30 cm. What is the distance between them (in cm)?
  25. 25.A cuboid is 15 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  26. 26.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.A cuboid is 8 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 22 cm and 14 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 75 square cm. Its parallel sides are 21 cm and 29 cm. What is the distance between them (in cm)?
  30. 30.A cuboid is 4 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  31. 31.A cuboid is 6 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  32. 32.A cuboid is 10 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  33. 33.A cuboid is 4 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  34. 34.A room is 10 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.A trapezium has parallel sides of 17 cm and 23 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 6 cm and 3 cm. What is its area (in square cm)?
  37. 37.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  38. 38.A room is 12 m long, 6 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 5 cm. What is its total surface area (in square cm)?
  40. 40.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?

Answer key

  1. 33
  2. 140
  3. 64
  4. 66
  5. 126
  6. 310
  7. 319
  8. 90
  9. 14
  10. 410
  11. 864
  12. 7
  13. 3750
  14. 264
  15. 586
  16. 12
  17. 5
  18. 1734
  19. 25
  20. 513
  21. 160
  22. 152
  23. 12
  24. 12
  25. 366
  26. 72
  27. 180
  28. 288
  29. 3
  30. 80
  31. 180
  32. 320
  33. 232
  34. 108
  35. 240
  36. 9
  37. 14
  38. 180
  39. 150
  40. 13

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