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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 220 · 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 3 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  2. 2.A cuboid is 7 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  3. 3.The diagonals of a rhombus are 30 cm and 15 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 23 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  5. 5.A trapezium has an area of 320 square cm. Its parallel sides are 23 cm and 9 cm. What is the distance between them (in cm)?
  6. 6.A cuboid is 3 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 5 cm and 10 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  8. 8.A cuboid is 6 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  9. 9.A cuboid is 8 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  10. 10.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  11. 11.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  12. 12.A cuboid is 3 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  13. 13.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  14. 14.The diagonals of a rhombus are 30 cm and 19 cm. What is its area (in square cm)?
  15. 15.A cuboid is 11 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has parallel sides of 17 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  17. 17.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  18. 18.A cuboid is 10 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  20. 20.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  21. 21.A cuboid is 11 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  22. 22.A cuboid is 8 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  23. 23.A room is 9 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.A trapezium has an area of 77 square cm. Its parallel sides are 20 cm and 2 cm. What is the distance between them (in cm)?
  25. 25.The diagonals of a rhombus are 10 cm and 15 cm. What is its area (in square cm)?
  26. 26.A trapezium has an area of 235 square cm. Its parallel sides are 19 cm and 28 cm. What is the distance between them (in cm)?
  27. 27.A trapezium has an area of 28 square cm. Its parallel sides are 21 cm and 7 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has an area of 88 square cm. Its parallel sides are 8 cm and 3 cm. What is the distance between them (in cm)?
  29. 29.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  30. 30.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  31. 31.A room is 3 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.A cuboid is 3 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  33. 33.A cuboid is 5 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  34. 34.The diagonals of a rhombus are 8 cm and 20 cm. What is its area (in square cm)?
  35. 35.A room is 4 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.The diagonals of a rhombus are 24 cm and 6 cm. What is its area (in square cm)?
  37. 37.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has an area of 78 square cm. Its parallel sides are 26 cm and 13 cm. What is the distance between them (in cm)?
  39. 39.A trapezium has an area of 90 square cm. Its parallel sides are 11 cm and 4 cm. What is the distance between them (in cm)?
  40. 40.A cuboid is 14 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?

Answer key

  1. 40
  2. 232
  3. 225
  4. 155
  5. 20
  6. 144
  7. 75
  8. 180
  9. 366
  10. 2904
  11. 17
  12. 126
  13. 10
  14. 285
  15. 298
  16. 69
  17. 20
  18. 294
  19. 3
  20. 19
  21. 518
  22. 208
  23. 144
  24. 7
  25. 75
  26. 10
  27. 2
  28. 16
  29. 864
  30. 150
  31. 48
  32. 224
  33. 174
  34. 80
  35. 120
  36. 72
  37. 84
  38. 4
  39. 12
  40. 664

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