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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 181 · 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 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  3. 3.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  4. 4.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 4 cm and 6 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 27 cm and 22 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  7. 7.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  8. 8.A cuboid is 7 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  9. 9.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  10. 10.A trapezium has parallel sides of 11 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 9 cm and 16 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 6 cm and 11 cm. What is its 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 trapezium has parallel sides of 24 cm and 11 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 27 cm and 17 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  16. 16.A trapezium has an area of 70 square cm. Its parallel sides are 13 cm and 7 cm. What is the distance between them (in cm)?
  17. 17.A trapezium has an area of 34 square cm. Its parallel sides are 9 cm and 8 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has parallel sides of 19 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  19. 19.A trapezium has an area of 124 square cm. Its parallel sides are 24 cm and 7 cm. What is the distance between them (in cm)?
  20. 20.A cuboid is 4 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 22 cm and 25 cm. What is its area (in square cm)?
  22. 22.A cuboid is 9 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  23. 23.The diagonals of a rhombus are 4 cm and 17 cm. What is its area (in square cm)?
  24. 24.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  25. 25.A trapezium has an area of 180 square cm. Its parallel sides are 16 cm and 20 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has an area of 231 square cm. Its parallel sides are 19 cm and 23 cm. What is the distance between them (in cm)?
  27. 27.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.A cuboid is 6 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 22 cm and 30 cm. What is its area (in square cm)?
  31. 31.A trapezium has parallel sides of 29 cm and 17 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
  33. 33.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  34. 34.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 217 square cm. Its parallel sides are 7 cm and 24 cm. What is the distance between them (in cm)?
  37. 37.The diagonals of a rhombus are 20 cm and 7 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 12 cm and 9 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 5 cm and 22 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  40. 40.A room is 6 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 80
  2. 14
  3. 600
  4. 90
  5. 20
  6. 98
  7. 2
  8. 310
  9. 19
  10. 117
  11. 225
  12. 33
  13. 3
  14. 70
  15. 242
  16. 7
  17. 4
  18. 25
  19. 8
  20. 160
  21. 275
  22. 102
  23. 34
  24. 486
  25. 10
  26. 11
  27. 140
  28. 108
  29. 3750
  30. 330
  31. 161
  32. 30
  33. 1350
  34. 5
  35. 144
  36. 14
  37. 70
  38. 54
  39. 162
  40. 120

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