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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 127 · 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.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has parallel sides of 16 cm and 27 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  4. 4.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has an area of 68 square cm. Its parallel sides are 5 cm and 3 cm. What is the distance between them (in cm)?
  6. 6.A cuboid is 13 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  7. 7.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  8. 8.A trapezium has an area of 125 square cm. Its parallel sides are 4 cm and 21 cm. What is the distance between them (in cm)?
  9. 9.A cuboid is 10 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  10. 10.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 21 cm and 30 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 8 cm and 21 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 11 cm and 27 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  14. 14.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.A cuboid is 6 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  16. 16.A cuboid is 6 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  17. 17.A cuboid is 3 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  18. 18.A cuboid is 14 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 4 cm and 24 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  20. 20.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  21. 21.A trapezium has parallel sides of 7 cm and 25 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  22. 22.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 19 cm and 9 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  24. 24.A cuboid is 9 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has parallel sides of 7 cm and 6 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  26. 26.A room is 9 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.A cuboid is 5 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 26 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 24 cm and 26 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  30. 30.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.A room is 10 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  33. 33.A trapezium has an area of 204 square cm. Its parallel sides are 11 cm and 13 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has an area of 171 square cm. Its parallel sides are 17 cm and 2 cm. What is the distance between them (in cm)?
  35. 35.A trapezium has parallel sides of 30 cm and 10 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 104 square cm. Its parallel sides are 24 cm and 2 cm. What is the distance between them (in cm)?
  37. 37.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 9 cm and 7 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  40. 40.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?

Answer key

  1. 16
  2. 258
  3. 384
  4. 96
  5. 17
  6. 542
  7. 3
  8. 10
  9. 190
  10. 2166
  11. 153
  12. 261
  13. 133
  14. 72
  15. 408
  16. 440
  17. 54
  18. 472
  19. 42
  20. 11
  21. 240
  22. 6
  23. 196
  24. 332
  25. 78
  26. 120
  27. 174
  28. 84
  29. 350
  30. 96
  31. 150
  32. 130
  33. 17
  34. 18
  35. 300
  36. 8
  37. 126
  38. 600
  39. 152
  40. 3750

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