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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 66 · 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 15 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  2. 2.A trapezium has an area of 87 square cm. Its parallel sides are 14 cm and 15 cm. What is the distance between them (in cm)?
  3. 3.A trapezium has an area of 300 square cm. Its parallel sides are 14 cm and 26 cm. What is the distance between them (in cm)?
  4. 4.The diagonals of a rhombus are 18 cm and 24 cm. What is its area (in square cm)?
  5. 5.A room is 4 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  6. 6.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  8. 8.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  9. 9.A room is 3 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 111 square cm. Its parallel sides are 24 cm and 13 cm. What is the distance between them (in cm)?
  11. 11.A cuboid is 6 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  12. 12.The diagonals of a rhombus are 20 cm and 3 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  14. 14.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  16. 16.A cuboid is 12 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  17. 17.The diagonals of a rhombus are 14 cm and 26 cm. What is its area (in square cm)?
  18. 18.A cuboid is 14 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has parallel sides of 5 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 22 cm and 5 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 6 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  23. 23.A trapezium has an area of 124 square cm. Its parallel sides are 12 cm and 19 cm. What is the distance between them (in cm)?
  24. 24.A trapezium has parallel sides of 12 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 250 square cm. Its parallel sides are 22 cm and 3 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has parallel sides of 23 cm and 30 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  27. 27.A cuboid is 5 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  29. 29.A trapezium has parallel sides of 20 cm and 12 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  30. 30.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  31. 31.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  32. 32.A trapezium has parallel sides of 30 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  33. 33.A cuboid is 8 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 15 cm and 26 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  35. 35.A cuboid is 4 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  36. 36.The diagonals of a rhombus are 16 cm and 10 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 30 cm and 24 cm. What is its area (in square cm)?
  38. 38.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has parallel sides of 15 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?

Answer key

  1. 198
  2. 6
  3. 15
  4. 216
  5. 60
  6. 120
  7. 1734
  8. 3
  9. 54
  10. 6
  11. 136
  12. 30
  13. 17
  14. 60
  15. 864
  16. 576
  17. 182
  18. 344
  19. 6
  20. 11
  21. 270
  22. 99
  23. 8
  24. 15
  25. 20
  26. 424
  27. 184
  28. 1176
  29. 256
  30. 13
  31. 16
  32. 74
  33. 180
  34. 82
  35. 304
  36. 80
  37. 360
  38. 60
  39. 9
  40. 25

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