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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 69 · 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 trapezium has parallel sides of 19 cm and 12 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  2. 2.A cuboid is 8 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  3. 3.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  4. 4.A trapezium has parallel sides of 25 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  5. 5.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 165 square cm. Its parallel sides are 25 cm and 5 cm. What is the distance between them (in cm)?
  7. 7.A trapezium has parallel sides of 15 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 6 cm and 22 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  9. 9.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  10. 10.A room is 6 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  12. 12.A trapezium has an area of 70 square cm. Its parallel sides are 20 cm and 15 cm. What is the distance between them (in cm)?
  13. 13.A room is 9 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has an area of 54 square cm. Its parallel sides are 6 cm and 21 cm. What is the distance between them (in cm)?
  15. 15.A trapezium has an area of 144 square cm. Its parallel sides are 12 cm and 6 cm. What is the distance between them (in cm)?
  16. 16.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  17. 17.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has parallel sides of 6 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  19. 19.A trapezium has an area of 243 square cm. Its parallel sides are 17 cm and 10 cm. What is the distance between them (in cm)?
  20. 20.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  21. 21.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  22. 22.A cuboid is 14 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  23. 23.A trapezium has an area of 75 square cm. Its parallel sides are 13 cm and 12 cm. What is the distance between them (in cm)?
  24. 24.The diagonals of a rhombus are 4 cm and 17 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  26. 26.A room is 8 m long, 4 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 15 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  29. 29.A trapezium has an area of 75 square cm. Its parallel sides are 14 cm and 11 cm. What is the distance between them (in cm)?
  30. 30.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  31. 31.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.The diagonals of a rhombus are 24 cm and 9 cm. What is its area (in square cm)?
  33. 33.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 26 cm and 4 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  35. 35.A cuboid is 9 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  36. 36.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.A trapezium has an area of 430 square cm. Its parallel sides are 17 cm and 26 cm. What is the distance between them (in cm)?
  38. 38.A cuboid is 7 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 14 cm and 2 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  40. 40.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?

Answer key

  1. 279
  2. 262
  3. 726
  4. 48
  5. 70
  6. 11
  7. 31
  8. 140
  9. 1176
  10. 120
  11. 11
  12. 4
  13. 102
  14. 4
  15. 16
  16. 1350
  17. 66
  18. 54
  19. 18
  20. 6
  21. 3174
  22. 376
  23. 6
  24. 34
  25. 7
  26. 96
  27. 81
  28. 12
  29. 6
  30. 5
  31. 78
  32. 108
  33. 150
  34. 285
  35. 348
  36. 60
  37. 20
  38. 166
  39. 160
  40. 2

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