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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 85 · 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 cuboid is 13 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 10 cm and 9 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 14 cm and 30 cm. What is its area (in square cm)?
  4. 4.A cuboid is 14 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  5. 5.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  6. 6.The diagonals of a rhombus are 12 cm and 7 cm. What is its area (in square cm)?
  7. 7.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 4 cm and 21 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 10 cm and 4 cm. What is its area (in square cm)?
  11. 11.A trapezium has an area of 364 square cm. Its parallel sides are 29 cm and 27 cm. What is the distance between them (in cm)?
  12. 12.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  13. 13.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  14. 14.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  15. 15.The diagonals of a rhombus are 6 cm and 11 cm. What is its area (in square cm)?
  16. 16.A trapezium has an area of 304 square cm. Its parallel sides are 25 cm and 7 cm. What is the distance between them (in cm)?
  17. 17.A room is 10 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  18. 18.The diagonals of a rhombus are 14 cm and 22 cm. What is its area (in square cm)?
  19. 19.A cuboid is 3 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  20. 20.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  21. 21.A room is 8 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.A cuboid is 13 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  23. 23.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  24. 24.A trapezium has parallel sides of 22 cm and 21 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  25. 25.A room is 12 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.The diagonals of a rhombus are 14 cm and 19 cm. What is its area (in square cm)?
  27. 27.A trapezium has an area of 123 square cm. Its parallel sides are 26 cm and 15 cm. What is the distance between them (in cm)?
  28. 28.A cuboid is 12 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 115 square cm. Its parallel sides are 27 cm and 19 cm. What is the distance between them (in cm)?
  30. 30.A cuboid is 6 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  31. 31.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  33. 33.A trapezium has parallel sides of 15 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 6 cm and 26 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  35. 35.A cuboid is 15 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  37. 37.A trapezium has an area of 105 square cm. Its parallel sides are 7 cm and 28 cm. What is the distance between them (in cm)?
  38. 38.A cuboid is 13 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  39. 39.A cuboid is 10 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  40. 40.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?

Answer key

  1. 418
  2. 45
  3. 210
  4. 152
  5. 78
  6. 42
  7. 160
  8. 864
  9. 150
  10. 20
  11. 13
  12. 24
  13. 20
  14. 2
  15. 33
  16. 19
  17. 170
  18. 154
  19. 198
  20. 600
  21. 72
  22. 628
  23. 8
  24. 172
  25. 152
  26. 133
  27. 6
  28. 188
  29. 5
  30. 320
  31. 160
  32. 16
  33. 180
  34. 208
  35. 128
  36. 150
  37. 6
  38. 382
  39. 480
  40. 2400

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