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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 124 · 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 23 cm. What is its total surface area (in square cm)?
  2. 2.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  3. 3.A trapezium has parallel sides of 19 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 8 cm and 30 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  6. 6.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 26 cm and 27 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 16 cm and 7 cm. What is its area (in square cm)?
  9. 9.A trapezium has parallel sides of 21 cm and 13 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  11. 11.A cuboid is 5 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 161 square cm. Its parallel sides are 15 cm and 8 cm. What is the distance between them (in cm)?
  13. 13.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  14. 14.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 11 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  17. 17.A trapezium has an area of 84 square cm. Its parallel sides are 15 cm and 27 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has parallel sides of 15 cm and 23 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  19. 19.A trapezium has parallel sides of 22 cm and 21 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  20. 20.The diagonals of a rhombus are 16 cm and 4 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 11 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  22. 22.A cuboid is 14 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  23. 23.A trapezium has parallel sides of 9 cm and 6 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  24. 24.A cuboid is 15 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has parallel sides of 4 cm and 18 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 9 cm and 20 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 19 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 19 cm and 8 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  29. 29.A cuboid is 14 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  30. 30.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.The diagonals of a rhombus are 14 cm and 22 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 9 cm and 6 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  33. 33.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 24 cm and 15 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  35. 35.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  36. 36.The diagonals of a rhombus are 18 cm and 14 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 8 cm and 12 cm. What is its area (in square cm)?
  38. 38.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  39. 39.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  40. 40.A cuboid is 10 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?

Answer key

  1. 3174
  2. 7
  3. 222
  4. 304
  5. 2904
  6. 1350
  7. 351
  8. 56
  9. 255
  10. 1536
  11. 174
  12. 14
  13. 114
  14. 3456
  15. 112
  16. 3
  17. 4
  18. 133
  19. 258
  20. 32
  21. 95
  22. 482
  23. 75
  24. 414
  25. 209
  26. 58
  27. 25
  28. 243
  29. 376
  30. 90
  31. 154
  32. 60
  33. 1176
  34. 273
  35. 13
  36. 126
  37. 48
  38. 152
  39. 11
  40. 216

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