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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 319 · 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.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 9 cm and 3 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  3. 3.A room is 9 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  5. 5.A trapezium has parallel sides of 27 cm and 13 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 23 cm and 18 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  7. 7.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  8. 8.The diagonals of a rhombus are 4 cm and 7 cm. What is its area (in square cm)?
  9. 9.A trapezium has parallel sides of 14 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 12 cm and 15 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 13 cm and 24 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  12. 12.A cuboid is 4 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  13. 13.A cuboid is 3 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  14. 14.A cuboid is 12 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 27 cm and 4 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  16. 16.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.A room is 12 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.A trapezium has parallel sides of 25 cm and 19 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  20. 20.A room is 12 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  22. 22.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  23. 23.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  24. 24.The diagonals of a rhombus are 30 cm and 4 cm. What is its area (in square cm)?
  25. 25.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  26. 26.A cuboid is 4 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  27. 27.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  28. 28.A cuboid is 6 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  29. 29.A cuboid is 15 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  30. 30.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  31. 31.A trapezium has an area of 360 square cm. Its parallel sides are 16 cm and 29 cm. What is the distance between them (in cm)?
  32. 32.The diagonals of a rhombus are 28 cm and 20 cm. What is its area (in square cm)?
  33. 33.A trapezium has an area of 212 square cm. Its parallel sides are 23 cm and 30 cm. What is the distance between them (in cm)?
  34. 34.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has an area of 19 square cm. Its parallel sides are 11 cm and 8 cm. What is the distance between them (in cm)?
  36. 36.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  37. 37.The diagonals of a rhombus are 24 cm and 23 cm. What is its area (in square cm)?
  38. 38.A cuboid is 10 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  39. 39.A trapezium has an area of 221 square cm. Its parallel sides are 26 cm and 8 cm. What is the distance between them (in cm)?
  40. 40.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?

Answer key

  1. 600
  2. 54
  3. 112
  4. 3
  5. 180
  6. 123
  7. 10
  8. 14
  9. 48
  10. 90
  11. 333
  12. 358
  13. 294
  14. 540
  15. 248
  16. 90
  17. 114
  18. 114
  19. 154
  20. 120
  21. 2646
  22. 864
  23. 216
  24. 60
  25. 1734
  26. 94
  27. 18
  28. 136
  29. 650
  30. 726
  31. 16
  32. 280
  33. 8
  34. 96
  35. 2
  36. 4
  37. 276
  38. 504
  39. 13
  40. 160

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