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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 245 · 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 cuboid is 6 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 16 cm and 8 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 18 cm and 7 cm. What is its area (in square cm)?
  4. 4.A cuboid is 7 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  5. 5.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 21 cm and 30 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 90 square cm. Its parallel sides are 6 cm and 9 cm. What is the distance between them (in cm)?
  8. 8.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has an area of 45 square cm. Its parallel sides are 19 cm and 26 cm. What is the distance between them (in cm)?
  10. 10.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  11. 11.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  12. 12.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  13. 13.A cuboid is 12 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  14. 14.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  15. 15.A cuboid is 4 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  16. 16.A cuboid is 8 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  17. 17.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  19. 19.The diagonals of a rhombus are 12 cm and 23 cm. What is its area (in square cm)?
  20. 20.A trapezium has an area of 48 square cm. Its parallel sides are 28 cm and 4 cm. What is the distance between them (in cm)?
  21. 21.A trapezium has an area of 203 square cm. Its parallel sides are 27 cm and 2 cm. What is the distance between them (in cm)?
  22. 22.The diagonals of a rhombus are 22 cm and 14 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 10 cm and 28 cm. What is its area (in square cm)?
  24. 24.A cuboid is 8 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  25. 25.The diagonals of a rhombus are 8 cm and 20 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  27. 27.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  28. 28.The diagonals of a rhombus are 10 cm and 11 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 17 cm and 9 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  30. 30.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  31. 31.A cuboid is 10 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  32. 32.A cuboid is 11 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  33. 33.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  34. 34.The diagonals of a rhombus are 26 cm and 14 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 12 cm and 3 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  36. 36.A room is 4 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  38. 38.A trapezium has parallel sides of 15 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 4 cm and 27 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  40. 40.A trapezium has parallel sides of 6 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?

Answer key

  1. 370
  2. 108
  3. 63
  4. 514
  5. 384
  6. 408
  7. 12
  8. 7
  9. 2
  10. 4
  11. 9
  12. 486
  13. 512
  14. 96
  15. 224
  16. 236
  17. 3456
  18. 216
  19. 138
  20. 3
  21. 14
  22. 154
  23. 140
  24. 304
  25. 80
  26. 16
  27. 15
  28. 55
  29. 221
  30. 864
  31. 548
  32. 234
  33. 1944
  34. 182
  35. 60
  36. 60
  37. 18
  38. 81
  39. 279
  40. 81

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