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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 281 · 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 5 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 15 cm and 25 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 25 cm and 7 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  5. 5.A cuboid is 12 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  6. 6.A cuboid is 9 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  7. 7.A room is 5 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  8. 8.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has an area of 123 square cm. Its parallel sides are 16 cm and 25 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has an area of 96 square cm. Its parallel sides are 26 cm and 22 cm. What is the distance between them (in cm)?
  11. 11.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
  12. 12.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  13. 13.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  14. 14.A trapezium has parallel sides of 4 cm and 17 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  15. 15.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  16. 16.A room is 9 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  19. 19.A cuboid is 14 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  20. 20.A cuboid is 11 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
  22. 22.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  23. 23.A cuboid is 6 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.A cuboid is 5 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has parallel sides of 8 cm and 12 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.A trapezium has an area of 261 square cm. Its parallel sides are 17 cm and 12 cm. What is the distance between them (in cm)?
  27. 27.The diagonals of a rhombus are 18 cm and 6 cm. What is its area (in square cm)?
  28. 28.A room is 5 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.The diagonals of a rhombus are 16 cm and 4 cm. What is its area (in square cm)?
  30. 30.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  31. 31.A room is 6 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has an area of 66 square cm. Its parallel sides are 12 cm and 21 cm. What is the distance between them (in cm)?
  33. 33.The diagonals of a rhombus are 28 cm and 17 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 14 cm and 6 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  35. 35.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has an area of 37 square cm. Its parallel sides are 29 cm and 8 cm. What is the distance between them (in cm)?
  37. 37.A cuboid is 3 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  38. 38.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  40. 40.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?

Answer key

  1. 398
  2. 360
  3. 108
  4. 144
  5. 416
  6. 450
  7. 88
  8. 3
  9. 6
  10. 4
  11. 120
  12. 130
  13. 5
  14. 105
  15. 6
  16. 96
  17. 1734
  18. 1536
  19. 312
  20. 148
  21. 288
  22. 2
  23. 56
  24. 220
  25. 20
  26. 18
  27. 54
  28. 84
  29. 32
  30. 1014
  31. 72
  32. 4
  33. 238
  34. 180
  35. 160
  36. 2
  37. 158
  38. 600
  39. 19
  40. 160

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