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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 231 · 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 216 square cm. How long is each edge (in cm)?
  2. 2.A cuboid is 10 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  3. 3.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  4. 4.A trapezium has an area of 50 square cm. Its parallel sides are 14 cm and 6 cm. What is the distance between them (in cm)?
  5. 5.A trapezium has an area of 300 square cm. Its parallel sides are 18 cm and 12 cm. What is the distance between them (in cm)?
  6. 6.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  7. 7.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  8. 8.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  9. 9.A cuboid is 6 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 8 cm and 20 cm. What is its area (in square cm)?
  11. 11.A cuboid is 15 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 19 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  13. 13.A trapezium has an area of 63 square cm. Its parallel sides are 4 cm and 17 cm. What is the distance between them (in cm)?
  14. 14.A cuboid is 10 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  15. 15.The diagonals of a rhombus are 24 cm and 26 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  17. 17.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
  18. 18.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.A cuboid is 14 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  20. 20.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.The diagonals of a rhombus are 20 cm and 29 cm. What is its area (in square cm)?
  22. 22.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
  23. 23.A trapezium has an area of 266 square cm. Its parallel sides are 25 cm and 3 cm. What is the distance between them (in cm)?
  24. 24.The diagonals of a rhombus are 22 cm and 29 cm. What is its area (in square cm)?
  25. 25.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has an area of 189 square cm. Its parallel sides are 16 cm and 11 cm. What is the distance between them (in cm)?
  27. 27.A room is 7 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  28. 28.A trapezium has parallel sides of 4 cm and 21 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 198 square cm. Its parallel sides are 20 cm and 16 cm. What is the distance between them (in cm)?
  30. 30.A trapezium has an area of 140 square cm. Its parallel sides are 6 cm and 29 cm. What is the distance between them (in cm)?
  31. 31.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  32. 32.The diagonals of a rhombus are 20 cm and 10 cm. What is its area (in square cm)?
  33. 33.A cuboid is 9 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  34. 34.A cuboid is 13 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  35. 35.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  36. 36.A trapezium has parallel sides of 15 cm and 21 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  37. 37.A room is 6 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 24 cm and 13 cm. What is its area (in square cm)?
  40. 40.The diagonals of a rhombus are 10 cm and 5 cm. What is its area (in square cm)?

Answer key

  1. 6
  2. 136
  3. 3456
  4. 5
  5. 20
  6. 15
  7. 384
  8. 2400
  9. 120
  10. 80
  11. 462
  12. 93
  13. 6
  14. 598
  15. 312
  16. 19
  17. 55
  18. 104
  19. 328
  20. 160
  21. 290
  22. 42
  23. 19
  24. 319
  25. 80
  26. 14
  27. 120
  28. 25
  29. 11
  30. 8
  31. 486
  32. 100
  33. 176
  34. 172
  35. 2
  36. 234
  37. 150
  38. 1734
  39. 156
  40. 25

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