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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 116 · 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 7 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  3. 3.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A trapezium has an area of 120 square cm. Its parallel sides are 30 cm and 10 cm. What is the distance between them (in cm)?
  5. 5.A room is 8 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  6. 6.A trapezium has parallel sides of 21 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 22 cm and 4 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 78 square cm. Its parallel sides are 11 cm and 2 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has parallel sides of 28 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 7 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  12. 12.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  13. 13.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  14. 14.A trapezium has parallel sides of 27 cm and 9 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 29 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  17. 17.A cuboid is 9 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 154 square cm. Its parallel sides are 26 cm and 2 cm. What is the distance between them (in cm)?
  19. 19.A trapezium has an area of 221 square cm. Its parallel sides are 21 cm and 13 cm. What is the distance between them (in cm)?
  20. 20.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  21. 21.A trapezium has an area of 105 square cm. Its parallel sides are 11 cm and 3 cm. What is the distance between them (in cm)?
  22. 22.A trapezium has parallel sides of 26 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  23. 23.A room is 6 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.A trapezium has parallel sides of 5 cm and 27 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  25. 25.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  26. 26.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  27. 27.A cuboid is 4 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 27 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  29. 29.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  30. 30.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.A room is 11 m long, 7 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 23 cm and 2 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 24 cm and 2 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 11 cm and 5 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  35. 35.A cuboid is 6 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 78 square cm. Its parallel sides are 5 cm and 8 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has an area of 255 square cm. Its parallel sides are 10 cm and 20 cm. What is the distance between them (in cm)?
  38. 38.A cuboid is 10 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  39. 39.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  40. 40.A cuboid is 3 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?

Answer key

  1. 17
  2. 3
  3. 48
  4. 6
  5. 144
  6. 234
  7. 117
  8. 12
  9. 94
  10. 198
  11. 5
  12. 6
  13. 2
  14. 36
  15. 111
  16. 7
  17. 558
  18. 11
  19. 13
  20. 3174
  21. 15
  22. 232
  23. 72
  24. 240
  25. 66
  26. 14
  27. 64
  28. 70
  29. 384
  30. 150
  31. 144
  32. 175
  33. 169
  34. 40
  35. 104
  36. 12
  37. 17
  38. 344
  39. 600
  40. 158

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