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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 103 · 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 6 cm and 4 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  2. 2.A trapezium has an area of 119 square cm. Its parallel sides are 25 cm and 9 cm. What is the distance between them (in cm)?
  3. 3.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has an area of 88 square cm. Its parallel sides are 20 cm and 2 cm. What is the distance between them (in cm)?
  5. 5.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  6. 6.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  7. 7.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  9. 9.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.A trapezium has an area of 413 square cm. Its parallel sides are 29 cm and 30 cm. What is the distance between them (in cm)?
  11. 11.A trapezium has an area of 36 square cm. Its parallel sides are 27 cm and 9 cm. What is the distance between them (in cm)?
  12. 12.A trapezium has an area of 66 square cm. Its parallel sides are 23 cm and 10 cm. What is the distance between them (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 cuboid is 10 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  15. 15.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
  16. 16.A room is 4 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.A trapezium has an area of 119 square cm. Its parallel sides are 12 cm and 22 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has parallel sides of 28 cm and 24 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  19. 19.The diagonals of a rhombus are 22 cm and 3 cm. What is its area (in square cm)?
  20. 20.The diagonals of a rhombus are 6 cm and 17 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  22. 22.A trapezium has parallel sides of 19 cm and 17 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  23. 23.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  24. 24.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  25. 25.A trapezium has parallel sides of 29 cm and 8 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  27. 27.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  28. 28.A room is 8 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.A trapezium has parallel sides of 16 cm and 12 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  30. 30.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  31. 31.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 5 cm and 18 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  33. 33.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  34. 34.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has an area of 62 square cm. Its parallel sides are 28 cm and 3 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has parallel sides of 7 cm and 6 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 234 square cm. Its parallel sides are 12 cm and 27 cm. What is the distance between them (in cm)?
  38. 38.A trapezium has parallel sides of 26 cm and 6 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 19 cm and 25 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  40. 40.A cuboid is 9 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?

Answer key

  1. 95
  2. 7
  3. 13
  4. 8
  5. 128
  6. 12
  7. 288
  8. 54
  9. 108
  10. 14
  11. 2
  12. 4
  13. 2
  14. 208
  15. 58
  16. 96
  17. 7
  18. 234
  19. 33
  20. 51
  21. 384
  22. 126
  23. 6
  24. 19
  25. 222
  26. 3750
  27. 10
  28. 110
  29. 42
  30. 112
  31. 1176
  32. 230
  33. 18
  34. 11
  35. 4
  36. 65
  37. 12
  38. 80
  39. 440
  40. 414

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