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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 224 · 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 24 cm and 13 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  2. 2.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  3. 3.A cuboid is 14 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  4. 4.A cuboid is 12 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  5. 5.The diagonals of a rhombus are 22 cm and 7 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 16 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  7. 7.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  8. 8.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 28 cm and 9 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 25 cm and 7 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  11. 11.A trapezium has an area of 55 square cm. Its parallel sides are 5 cm and 6 cm. What is the distance between them (in cm)?
  12. 12.A room is 9 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  14. 14.A cuboid is 11 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  15. 15.The diagonals of a rhombus are 24 cm and 21 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  17. 17.A trapezium has parallel sides of 14 cm and 22 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  18. 18.A cuboid is 10 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 28 cm and 20 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  20. 20.A cuboid is 6 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 26 cm and 20 cm. What is its area (in square cm)?
  22. 22.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  23. 23.A trapezium has parallel sides of 6 cm and 7 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 11 cm and 18 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 13 cm and 26 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  26. 26.A cuboid is 4 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  27. 27.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  28. 28.The diagonals of a rhombus are 8 cm and 26 cm. What is its area (in square cm)?
  29. 29.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  30. 30.A room is 11 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  32. 32.A cuboid is 4 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  33. 33.A trapezium has parallel sides of 13 cm and 9 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  34. 34.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.A cuboid is 14 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has an area of 56 square cm. Its parallel sides are 4 cm and 24 cm. What is the distance between them (in cm)?
  38. 38.A cuboid is 8 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 12 cm and 10 cm. What is its area (in square cm)?
  40. 40.A room is 5 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 222
  2. 54
  3. 186
  4. 396
  5. 77
  6. 66
  7. 486
  8. 3456
  9. 296
  10. 304
  11. 10
  12. 90
  13. 294
  14. 206
  15. 252
  16. 16
  17. 144
  18. 408
  19. 288
  20. 72
  21. 260
  22. 2904
  23. 130
  24. 58
  25. 351
  26. 124
  27. 20
  28. 104
  29. 10
  30. 210
  31. 1014
  32. 100
  33. 33
  34. 48
  35. 84
  36. 616
  37. 4
  38. 136
  39. 60
  40. 88

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