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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 325 · 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 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.A room is 10 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  3. 3.A room is 8 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 24 square cm. How long is each edge (in cm)?
  5. 5.A cuboid is 7 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  6. 6.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  7. 7.A cuboid is 12 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  8. 8.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 11 cm and 29 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 28 cm and 28 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 24 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  12. 12.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  13. 13.A cuboid is 7 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  14. 14.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  15. 15.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  16. 16.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)?
  17. 17.A trapezium has an area of 162 square cm. Its parallel sides are 11 cm and 16 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has an area of 84 square cm. Its parallel sides are 16 cm and 26 cm. What is the distance between them (in cm)?
  19. 19.The diagonals of a rhombus are 30 cm and 18 cm. What is its area (in square cm)?
  20. 20.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 27 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  22. 22.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  23. 23.A trapezium has an area of 46 square cm. Its parallel sides are 10 cm and 13 cm. What is the distance between them (in cm)?
  24. 24.A trapezium has parallel sides of 19 cm and 6 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 280 square cm. Its parallel sides are 10 cm and 25 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has parallel sides of 20 cm and 27 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 14 cm and 24 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  28. 28.A trapezium has an area of 370 square cm. Its parallel sides are 24 cm and 13 cm. What is the distance between them (in cm)?
  29. 29.A room is 7 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  31. 31.A cuboid is 12 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  32. 32.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  33. 33.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has parallel sides of 27 cm and 11 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  35. 35.A trapezium has an area of 117 square cm. Its parallel sides are 28 cm and 11 cm. What is the distance between them (in cm)?
  36. 36.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 6 cm and 30 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 8 cm and 19 cm. What is its area (in square cm)?
  39. 39.A room is 4 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?

Answer key

  1. 128
  2. 84
  3. 108
  4. 2
  5. 266
  6. 3456
  7. 352
  8. 1734
  9. 180
  10. 392
  11. 160
  12. 2646
  13. 162
  14. 18
  15. 384
  16. 296
  17. 12
  18. 4
  19. 270
  20. 58
  21. 240
  22. 96
  23. 4
  24. 150
  25. 16
  26. 47
  27. 76
  28. 20
  29. 100
  30. 486
  31. 132
  32. 108
  33. 140
  34. 323
  35. 6
  36. 6
  37. 234
  38. 76
  39. 130
  40. 19

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