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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 255 · 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 trapezium has parallel sides of 18 cm and 10 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  3. 3.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  4. 4.A cuboid is 15 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  5. 5.A cuboid is 10 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  6. 6.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.A trapezium has parallel sides of 28 cm and 6 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 8 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 4 cm and 30 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 16 cm and 14 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  11. 11.A cuboid is 8 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 138 square cm. Its parallel sides are 16 cm and 30 cm. What is the distance between them (in cm)?
  13. 13.A room is 6 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has an area of 416 square cm. Its parallel sides are 22 cm and 30 cm. What is the distance between them (in cm)?
  15. 15.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  16. 16.A room is 6 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  17. 17.A cuboid is 9 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 117 square cm. Its parallel sides are 16 cm and 23 cm. What is the distance between them (in cm)?
  19. 19.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  20. 20.A cuboid is 4 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has an area of 38 square cm. Its parallel sides are 4 cm and 15 cm. What is the distance between them (in cm)?
  22. 22.The diagonals of a rhombus are 18 cm and 10 cm. What is its area (in square cm)?
  23. 23.A room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  26. 26.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  27. 27.A cuboid is 6 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  28. 28.A cuboid is 9 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has parallel sides of 18 cm and 7 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  30. 30.A cuboid is 7 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  31. 31.A cuboid is 3 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  32. 32.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  33. 33.A trapezium has parallel sides of 10 cm and 18 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 24 cm and 27 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 28 cm and 20 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 10 cm and 20 cm. What is its area (in square cm)?
  37. 37.A cuboid is 8 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 6 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 19 cm and 28 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  40. 40.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?

Answer key

  1. 84
  2. 4
  3. 9
  4. 414
  5. 256
  6. 80
  7. 68
  8. 42
  9. 60
  10. 45
  11. 114
  12. 6
  13. 54
  14. 16
  15. 384
  16. 120
  17. 150
  18. 6
  19. 2166
  20. 360
  21. 4
  22. 90
  23. 128
  24. 66
  25. 12
  26. 3
  27. 184
  28. 234
  29. 225
  30. 548
  31. 192
  32. 2
  33. 42
  34. 324
  35. 280
  36. 100
  37. 158
  38. 198
  39. 423
  40. 6

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