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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 130 · 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 6 cm. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 24 cm and 6 cm. What is its area (in square cm)?
  3. 3.A trapezium has parallel sides of 8 cm and 5 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  4. 4.The diagonals of a rhombus are 24 cm and 13 cm. What is its area (in square cm)?
  5. 5.A trapezium has an area of 325 square cm. Its parallel sides are 29 cm and 21 cm. What is the distance between them (in cm)?
  6. 6.A trapezium has an area of 144 square cm. Its parallel sides are 5 cm and 11 cm. What is the distance between them (in cm)?
  7. 7.A cuboid is 12 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  8. 8.A cuboid is 10 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  9. 9.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  10. 10.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 17 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 11 cm and 22 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  13. 13.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.The diagonals of a rhombus are 28 cm and 17 cm. What is its area (in square cm)?
  15. 15.A trapezium has an area of 171 square cm. Its parallel sides are 27 cm and 30 cm. What is the distance between them (in cm)?
  16. 16.A trapezium has parallel sides of 30 cm and 6 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  17. 17.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  18. 18.A trapezium has parallel sides of 29 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  19. 19.A trapezium has an area of 441 square cm. Its parallel sides are 23 cm and 26 cm. What is the distance between them (in cm)?
  20. 20.A cuboid is 6 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has an area of 90 square cm. Its parallel sides are 17 cm and 3 cm. What is the distance between them (in cm)?
  22. 22.A cuboid is 6 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  23. 23.A cuboid is 6 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  25. 25.A trapezium has parallel sides of 12 cm and 27 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 13 cm. 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.A cuboid is 11 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 18 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  32. 32.The diagonals of a rhombus are 18 cm and 13 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 17 cm and 7 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 24 cm and 18 cm. What is its area (in square cm)?
  35. 35.A cuboid is 14 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 70 square cm. Its parallel sides are 4 cm and 3 cm. What is the distance between them (in cm)?
  37. 37.A cuboid is 7 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  38. 38.The diagonals of a rhombus are 16 cm and 25 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 28 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  40. 40.A trapezium has an area of 171 square cm. Its parallel sides are 8 cm and 30 cm. What is the distance between them (in cm)?

Answer key

  1. 216
  2. 72
  3. 78
  4. 156
  5. 13
  6. 18
  7. 384
  8. 522
  9. 1734
  10. 726
  11. 270
  12. 33
  13. 110
  14. 238
  15. 6
  16. 54
  17. 11
  18. 330
  19. 18
  20. 408
  21. 9
  22. 128
  23. 208
  24. 3
  25. 312
  26. 16
  27. 1014
  28. 9
  29. 226
  30. 172
  31. 384
  32. 117
  33. 72
  34. 216
  35. 288
  36. 20
  37. 276
  38. 200
  39. 248
  40. 9

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