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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 185 · 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 room is 6 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  3. 3.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  5. 5.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  7. 7.A cuboid is 12 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  8. 8.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 102 square cm. Its parallel sides are 5 cm and 12 cm. What is the distance between them (in cm)?
  11. 11.A cuboid is 15 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  12. 12.A cuboid is 3 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has an area of 155 square cm. Its parallel sides are 11 cm and 20 cm. What is the distance between them (in cm)?
  14. 14.A cuboid is 3 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 85 square cm. Its parallel sides are 12 cm and 5 cm. What is the distance between them (in cm)?
  16. 16.A trapezium has parallel sides of 8 cm and 6 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  17. 17.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 275 square cm. Its parallel sides are 20 cm and 30 cm. What is the distance between them (in cm)?
  19. 19.A trapezium has an area of 228 square cm. Its parallel sides are 9 cm and 29 cm. What is the distance between them (in cm)?
  20. 20.A room is 8 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  21. 21.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)?
  22. 22.A trapezium has parallel sides of 19 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  23. 23.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.The diagonals of a rhombus are 30 cm and 19 cm. What is its area (in square cm)?
  25. 25.A room is 10 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  27. 27.A cuboid is 12 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  28. 28.The diagonals of a rhombus are 6 cm and 22 cm. What is its area (in square cm)?
  29. 29.A cuboid is 10 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  30. 30.A cuboid is 9 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  31. 31.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  32. 32.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  33. 33.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  34. 34.A room is 9 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.A trapezium has parallel sides of 23 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 10 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  39. 39.A cuboid is 3 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  40. 40.A trapezium has parallel sides of 8 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?

Answer key

  1. 90
  2. 2166
  3. 102
  4. 19
  5. 96
  6. 5
  7. 678
  8. 120
  9. 24
  10. 12
  11. 550
  12. 112
  13. 10
  14. 126
  15. 10
  16. 56
  17. 1350
  18. 11
  19. 12
  20. 88
  21. 40
  22. 22
  23. 112
  24. 285
  25. 190
  26. 150
  27. 132
  28. 66
  29. 280
  30. 102
  31. 216
  32. 35
  33. 2
  34. 190
  35. 240
  36. 12
  37. 143
  38. 384
  39. 216
  40. 105

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