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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 314 · 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.The diagonals of a rhombus are 28 cm and 22 cm. What is its area (in square cm)?
  2. 2.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  3. 3.A trapezium has parallel sides of 11 cm and 25 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  4. 4.A cuboid is 8 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  5. 5.A cuboid is 4 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has an area of 99 square cm. Its parallel sides are 25 cm and 8 cm. What is the distance between them (in cm)?
  8. 8.A trapezium has an area of 23 square cm. Its parallel sides are 16 cm and 7 cm. What is the distance between them (in cm)?
  9. 9.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  10. 10.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  11. 11.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.A trapezium has parallel sides of 25 cm and 29 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  13. 13.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has parallel sides of 27 cm and 19 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  15. 15.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  16. 16.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  17. 17.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  18. 18.A room is 4 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has parallel sides of 22 cm and 20 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  21. 21.A trapezium has an area of 34 square cm. Its parallel sides are 8 cm and 9 cm. What is the distance between them (in cm)?
  22. 22.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  23. 23.The diagonals of a rhombus are 6 cm and 11 cm. What is its area (in square cm)?
  24. 24.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
  25. 25.A room is 3 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A cuboid is 12 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 27 cm and 28 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  29. 29.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  30. 30.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 4 cm and 28 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  32. 32.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  33. 33.A cuboid is 4 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  34. 34.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has an area of 231 square cm. Its parallel sides are 6 cm and 27 cm. What is the distance between them (in cm)?
  36. 36.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 4 cm and 9 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 14 cm and 8 cm. What is its area (in square cm)?
  40. 40.A cuboid is 12 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?

Answer key

  1. 308
  2. 150
  3. 288
  4. 340
  5. 64
  6. 3
  7. 6
  8. 2
  9. 1536
  10. 2646
  11. 60
  12. 324
  13. 160
  14. 69
  15. 88
  16. 486
  17. 17
  18. 104
  19. 56
  20. 42
  21. 4
  22. 1734
  23. 33
  24. 96
  25. 96
  26. 358
  27. 275
  28. 6
  29. 294
  30. 24
  31. 80
  32. 2
  33. 164
  34. 864
  35. 14
  36. 3750
  37. 104
  38. 2400
  39. 56
  40. 192

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