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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 92 · 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 22 cm and 14 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  2. 2.The diagonals of a rhombus are 14 cm and 19 cm. What is its area (in square cm)?
  3. 3.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.The diagonals of a rhombus are 12 cm and 17 cm. What is its area (in square cm)?
  5. 5.A cuboid is 11 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  6. 6.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  7. 7.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  9. 9.The diagonals of a rhombus are 22 cm and 28 cm. What is its area (in square cm)?
  10. 10.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  11. 11.A cuboid is 11 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  12. 12.A cuboid is 4 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  13. 13.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  14. 14.A room is 6 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  16. 16.A cuboid is 8 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  17. 17.A cuboid is 13 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  19. 19.The diagonals of a rhombus are 10 cm and 5 cm. What is its area (in square cm)?
  20. 20.A room is 9 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.A trapezium has an area of 255 square cm. Its parallel sides are 28 cm and 2 cm. What is the distance between them (in cm)?
  22. 22.A room is 6 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  23. 23.The diagonals of a rhombus are 30 cm and 15 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 37 square cm. Its parallel sides are 21 cm and 16 cm. What is the distance between them (in cm)?
  25. 25.A trapezium has parallel sides of 11 cm and 7 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 13 cm and 4 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  27. 27.A cuboid is 7 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 18 cm and 4 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  29. 29.The diagonals of a rhombus are 14 cm and 5 cm. What is its area (in square cm)?
  30. 30.The diagonals of a rhombus are 12 cm and 25 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 8 cm and 21 cm. What is its area (in square cm)?
  32. 32.A trapezium has an area of 110 square cm. Its parallel sides are 20 cm and 2 cm. What is the distance between them (in cm)?
  33. 33.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  34. 34.A room is 12 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  35. 35.A cuboid is 6 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 161 square cm. Its parallel sides are 18 cm and 28 cm. What is the distance between them (in cm)?
  37. 37.The diagonals of a rhombus are 8 cm and 4 cm. What is its area (in square cm)?
  38. 38.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  39. 39.A cuboid is 10 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  40. 40.The diagonals of a rhombus are 12 cm and 10 cm. What is its area (in square cm)?

Answer key

  1. 252
  2. 133
  3. 160
  4. 102
  5. 358
  6. 150
  7. 48
  8. 19
  9. 308
  10. 60
  11. 334
  12. 88
  13. 3
  14. 150
  15. 486
  16. 180
  17. 274
  18. 864
  19. 25
  20. 180
  21. 17
  22. 104
  23. 225
  24. 2
  25. 99
  26. 51
  27. 232
  28. 33
  29. 35
  30. 150
  31. 84
  32. 10
  33. 130
  34. 168
  35. 188
  36. 7
  37. 16
  38. 15
  39. 190
  40. 60

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