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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 146 · 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 10 cm. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 24 cm and 5 cm. What is its area (in square cm)?
  3. 3.A cuboid is 6 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 10 cm and 4 cm. What is its area (in square cm)?
  5. 5.A room is 9 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  6. 6.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
  7. 7.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  8. 8.A trapezium has an area of 119 square cm. Its parallel sides are 4 cm and 10 cm. What is the distance between them (in cm)?
  9. 9.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.A cuboid is 8 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  11. 11.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 28 cm and 25 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  13. 13.A cuboid is 13 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  14. 14.A trapezium has an area of 230 square cm. Its parallel sides are 18 cm and 28 cm. What is the distance between them (in cm)?
  15. 15.A trapezium has parallel sides of 28 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 8 cm and 3 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  17. 17.A cuboid is 14 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 16 cm and 18 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 14 cm and 28 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  21. 21.A cuboid is 7 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  22. 22.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 13 cm and 18 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 296 square cm. Its parallel sides are 12 cm and 25 cm. What is the distance between them (in cm)?
  25. 25.A trapezium has an area of 204 square cm. Its parallel sides are 12 cm and 22 cm. What is the distance between them (in cm)?
  26. 26.A room is 8 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.A trapezium has parallel sides of 10 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  28. 28.A cuboid is 4 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  30. 30.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 5 cm and 15 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  32. 32.A cuboid is 14 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  33. 33.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  34. 34.The diagonals of a rhombus are 16 cm and 7 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 11 cm and 18 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  36. 36.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  37. 37.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  38. 38.A cuboid is 15 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  39. 39.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  40. 40.A room is 6 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?

Answer key

  1. 600
  2. 60
  3. 324
  4. 20
  5. 190
  6. 42
  7. 15
  8. 17
  9. 120
  10. 512
  11. 54
  12. 371
  13. 302
  14. 10
  15. 384
  16. 77
  17. 184
  18. 1014
  19. 221
  20. 294
  21. 182
  22. 10
  23. 217
  24. 16
  25. 12
  26. 144
  27. 34
  28. 128
  29. 24
  30. 384
  31. 80
  32. 322
  33. 1536
  34. 56
  35. 29
  36. 150
  37. 3456
  38. 348
  39. 2646
  40. 140

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