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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 44 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  2. 2.A cuboid is 14 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
  3. 3.A room is 11 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  4. 4.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  5. 5.A cuboid is 5 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
  6. 6.A cuboid is 4 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  7. 7.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  8. 8.The diagonals of a rhombus are 12 cm and 5 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 323 square cm. Its parallel sides are 23 cm and 11 cm. What is the distance between them (in cm)?
  10. 10.The diagonals of a rhombus are 26 cm and 5 cm. What is its area (in square cm)?
  11. 11.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 4 cm and 30 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 22 cm and 30 cm. What is its area (in square cm)?
  14. 14.A cuboid is 8 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
  15. 15.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  16. 16.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  17. 17.A trapezium has an area of 40 square cm. Its parallel sides are 4 cm and 16 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has parallel sides of 20 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  19. 19.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  20. 20.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  21. 21.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  22. 22.The diagonals of a rhombus are 22 cm and 22 cm. What is its area (in square cm)?
  23. 23.A cuboid is 12 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  25. 25.A room is 9 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  27. 27.A room is 5 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  30. 30.A cuboid is 14 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  31. 31.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  32. 32.The diagonals of a rhombus are 24 cm and 7 cm. What is its area (in square cm)?
  33. 33.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has an area of 81 square cm. Its parallel sides are 6 cm and 12 cm. What is the distance between them (in cm)?
  35. 35.The diagonals of a rhombus are 8 cm and 17 cm. What is its area (in square cm)?
  36. 36.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.A trapezium has an area of 117 square cm. Its parallel sides are 14 cm and 25 cm. What is the distance between them (in cm)?
  38. 38.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has parallel sides of 28 cm and 26 cm, and the distance between them is 14 cm. What is its area (in square cm)?

Answer key

  1. 2646
  2. 596
  3. 210
  4. 14
  5. 366
  6. 166
  7. 8
  8. 30
  9. 19
  10. 65
  11. 72
  12. 60
  13. 330
  14. 480
  15. 726
  16. 216
  17. 4
  18. 93
  19. 7
  20. 17
  21. 3
  22. 242
  23. 426
  24. 15
  25. 136
  26. 20
  27. 60
  28. 1350
  29. 600
  30. 528
  31. 11
  32. 84
  33. 72
  34. 9
  35. 68
  36. 84
  37. 6
  38. 150
  39. 10
  40. 378

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