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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 225 · 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 1350 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has an area of 410 square cm. Its parallel sides are 19 cm and 22 cm. What is the distance between them (in cm)?
  3. 3.The diagonals of a rhombus are 20 cm and 12 cm. What is its area (in square cm)?
  4. 4.A trapezium has an area of 60 square cm. Its parallel sides are 21 cm and 3 cm. What is the distance between them (in cm)?
  5. 5.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  6. 6.A cuboid is 12 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  7. 7.A cuboid is 9 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  8. 8.A room is 9 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  10. 10.A trapezium has an area of 99 square cm. Its parallel sides are 24 cm and 9 cm. What is the distance between them (in cm)?
  11. 11.A trapezium has parallel sides of 21 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 24 cm and 30 cm. What is its area (in square cm)?
  13. 13.A cuboid is 4 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  14. 14.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 110 square cm. Its parallel sides are 18 cm and 26 cm. What is the distance between them (in cm)?
  16. 16.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  17. 17.A trapezium has an area of 520 square cm. Its parallel sides are 23 cm and 29 cm. What is the distance between them (in cm)?
  18. 18.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  19. 19.The diagonals of a rhombus are 28 cm and 7 cm. What is its area (in square cm)?
  20. 20.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  21. 21.A cuboid is 13 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  22. 22.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  23. 23.The diagonals of a rhombus are 20 cm and 9 cm. What is its area (in square cm)?
  24. 24.The diagonals of a rhombus are 8 cm and 25 cm. What is its area (in square cm)?
  25. 25.The diagonals of a rhombus are 6 cm and 16 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 4 cm and 6 cm. What is its area (in square cm)?
  27. 27.The diagonals of a rhombus are 4 cm and 28 cm. What is its area (in square cm)?
  28. 28.A trapezium has an area of 15 square cm. Its parallel sides are 12 cm and 3 cm. What is the distance between them (in cm)?
  29. 29.A trapezium has an area of 273 square cm. Its parallel sides are 23 cm and 16 cm. What is the distance between them (in cm)?
  30. 30.A trapezium has an area of 258 square cm. Its parallel sides are 22 cm and 21 cm. What is the distance between them (in cm)?
  31. 31.The diagonals of a rhombus are 10 cm and 4 cm. What is its area (in square cm)?
  32. 32.A trapezium has an area of 54 square cm. Its parallel sides are 25 cm and 29 cm. What is the distance between them (in cm)?
  33. 33.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  34. 34.The diagonals of a rhombus are 22 cm and 29 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 16 cm and 17 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  37. 37.A cuboid is 12 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 16 cm and 3 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  39. 39.The diagonals of a rhombus are 22 cm and 15 cm. What is its area (in square cm)?
  40. 40.A cuboid is 6 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?

Answer key

  1. 15
  2. 20
  3. 120
  4. 5
  5. 130
  6. 448
  7. 202
  8. 152
  9. 3
  10. 6
  11. 207
  12. 360
  13. 192
  14. 1536
  15. 5
  16. 17
  17. 20
  18. 11
  19. 98
  20. 1350
  21. 628
  22. 14
  23. 90
  24. 100
  25. 48
  26. 12
  27. 56
  28. 2
  29. 14
  30. 12
  31. 20
  32. 2
  33. 9
  34. 319
  35. 99
  36. 10
  37. 432
  38. 133
  39. 165
  40. 88

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