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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 239 · 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 7 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  2. 2.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 39 square cm. Its parallel sides are 10 cm and 3 cm. What is the distance between them (in cm)?
  4. 4.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  5. 5.A cuboid is 8 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  6. 6.A room is 12 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.A cuboid is 9 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  8. 8.A trapezium has parallel sides of 22 cm and 24 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  9. 9.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  10. 10.A cuboid is 3 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  11. 11.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  12. 12.A trapezium has an area of 195 square cm. Its parallel sides are 11 cm and 28 cm. What is the distance between them (in cm)?
  13. 13.The diagonals of a rhombus are 10 cm and 13 cm. What is its area (in square cm)?
  14. 14.A trapezium has an area of 430 square cm. Its parallel sides are 13 cm and 30 cm. What is the distance between them (in cm)?
  15. 15.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  16. 16.The diagonals of a rhombus are 4 cm and 28 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 12 cm and 22 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  19. 19.A trapezium has an area of 105 square cm. Its parallel sides are 7 cm and 28 cm. What is the distance between them (in cm)?
  20. 20.A trapezium has an area of 247 square cm. Its parallel sides are 22 cm and 4 cm. What is the distance between them (in cm)?
  21. 21.The total surface area of a cube is 1014 square cm. How long is each edge (in 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 20 cm and 15 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  24. 24.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  25. 25.A cuboid is 4 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  26. 26.A trapezium has an area of 52 square cm. Its parallel sides are 23 cm and 29 cm. What is the distance between them (in cm)?
  27. 27.A cuboid is 12 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  28. 28.The diagonals of a rhombus are 18 cm and 18 cm. What is its area (in square cm)?
  29. 29.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 27 cm and 10 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  31. 31.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has parallel sides of 8 cm and 7 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  33. 33.A trapezium has an area of 490 square cm. Its parallel sides are 27 cm and 22 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has parallel sides of 20 cm and 10 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  35. 35.A cuboid is 8 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  36. 36.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  37. 37.A trapezium has an area of 190 square cm. Its parallel sides are 17 cm and 3 cm. What is the distance between them (in cm)?
  38. 38.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  39. 39.A cuboid is 7 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  40. 40.A cuboid is 9 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?

Answer key

  1. 266
  2. 216
  3. 6
  4. 2400
  5. 320
  6. 170
  7. 102
  8. 345
  9. 54
  10. 224
  11. 3
  12. 10
  13. 65
  14. 20
  15. 20
  16. 56
  17. 72
  18. 221
  19. 6
  20. 19
  21. 13
  22. 2904
  23. 245
  24. 19
  25. 124
  26. 2
  27. 504
  28. 162
  29. 1014
  30. 296
  31. 160
  32. 135
  33. 20
  34. 240
  35. 92
  36. 1536
  37. 19
  38. 10
  39. 472
  40. 258

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