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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 204 · 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.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 9 cm and 21 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  3. 3.A room is 9 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A cuboid is 11 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  5. 5.A cuboid is 12 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  6. 6.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.A trapezium has parallel sides of 30 cm and 18 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 31 square cm. Its parallel sides are 29 cm and 2 cm. What is the distance between them (in cm)?
  9. 9.A cuboid is 6 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  10. 10.A trapezium has parallel sides of 19 cm and 22 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  11. 11.A cuboid is 7 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 54 square cm. Its parallel sides are 13 cm and 5 cm. What is the distance between them (in cm)?
  13. 13.A trapezium has an area of 125 square cm. Its parallel sides are 21 cm and 29 cm. What is the distance between them (in cm)?
  14. 14.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  15. 15.A cuboid is 6 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has parallel sides of 13 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  17. 17.A cuboid is 15 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has parallel sides of 8 cm and 18 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  19. 19.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  20. 20.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  21. 21.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  22. 22.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  23. 23.A room is 7 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.The diagonals of a rhombus are 8 cm and 16 cm. What is its area (in square cm)?
  25. 25.A cuboid is 8 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  26. 26.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  27. 27.A cuboid is 10 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  28. 28.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  29. 29.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  30. 30.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.A trapezium has an area of 138 square cm. Its parallel sides are 18 cm and 28 cm. What is the distance between them (in cm)?
  32. 32.A trapezium has an area of 357 square cm. Its parallel sides are 18 cm and 24 cm. What is the distance between them (in cm)?
  33. 33.A trapezium has an area of 13 square cm. Its parallel sides are 8 cm and 5 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has an area of 323 square cm. Its parallel sides are 15 cm and 19 cm. What is the distance between them (in cm)?
  35. 35.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has parallel sides of 25 cm and 9 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 273 square cm. Its parallel sides are 13 cm and 29 cm. What is the distance between them (in cm)?
  38. 38.The diagonals of a rhombus are 20 cm and 14 cm. What is its area (in square cm)?
  39. 39.The diagonals of a rhombus are 28 cm and 11 cm. What is its area (in square cm)?
  40. 40.A trapezium has an area of 330 square cm. Its parallel sides are 15 cm and 18 cm. What is the distance between them (in cm)?

Answer key

  1. 3456
  2. 30
  3. 90
  4. 278
  5. 372
  6. 80
  7. 96
  8. 2
  9. 88
  10. 328
  11. 322
  12. 6
  13. 5
  14. 4
  15. 280
  16. 42
  17. 270
  18. 208
  19. 150
  20. 1014
  21. 17
  22. 19
  23. 128
  24. 64
  25. 92
  26. 6
  27. 446
  28. 9
  29. 486
  30. 160
  31. 6
  32. 17
  33. 2
  34. 19
  35. 150
  36. 255
  37. 13
  38. 140
  39. 154
  40. 20

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