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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 206 · 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 diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 13 cm and 3 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  4. 4.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  5. 5.A cuboid is 13 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 21 cm and 8 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 6 cm and 27 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  8. 8.A room is 8 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  9. 9.A cuboid is 7 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has an area of 132 square cm. Its parallel sides are 11 cm and 13 cm. What is the distance between them (in cm)?
  12. 12.The diagonals of a rhombus are 28 cm and 26 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 16 cm and 19 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 6 cm and 25 cm. What is its area (in square cm)?
  15. 15.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  17. 17.A trapezium has parallel sides of 4 cm and 27 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  18. 18.A cuboid is 7 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 7 cm and 21 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  20. 20.A cuboid is 12 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 16 cm and 21 cm. What is its area (in square cm)?
  22. 22.A trapezium has an area of 94 square cm. Its parallel sides are 23 cm and 24 cm. What is the distance between them (in cm)?
  23. 23.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  24. 24.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.A trapezium has an area of 30 square cm. Its parallel sides are 10 cm and 5 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has parallel sides of 16 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 7 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  28. 28.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  29. 29.A room is 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.A trapezium has parallel sides of 6 cm and 3 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  32. 32.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  33. 33.A trapezium has an area of 323 square cm. Its parallel sides are 22 cm and 16 cm. What is the distance between them (in cm)?
  34. 34.The diagonals of a rhombus are 4 cm and 12 cm. What is its area (in square cm)?
  35. 35.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  36. 36.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  37. 37.A trapezium has parallel sides of 8 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  38. 38.A cuboid is 4 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  39. 39.A room is 10 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has an area of 108 square cm. Its parallel sides are 13 cm and 23 cm. What is the distance between them (in cm)?

Answer key

  1. 30
  2. 40
  3. 6
  4. 1944
  5. 586
  6. 203
  7. 165
  8. 120
  9. 82
  10. 15
  11. 11
  12. 364
  13. 152
  14. 75
  15. 96
  16. 10
  17. 248
  18. 118
  19. 210
  20. 504
  21. 168
  22. 4
  23. 9
  24. 100
  25. 4
  26. 70
  27. 108
  28. 24
  29. 100
  30. 18
  31. 384
  32. 14
  33. 17
  34. 24
  35. 17
  36. 11
  37. 34
  38. 224
  39. 102
  40. 6

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