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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 186 · 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 14 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has an area of 57 square cm. Its parallel sides are 5 cm and 14 cm. What is the distance between them (in cm)?
  3. 3.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  4. 4.A room is 11 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has an area of 308 square cm. Its parallel sides are 27 cm and 17 cm. What is the distance between them (in cm)?
  6. 6.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 9 cm and 14 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  9. 9.The diagonals of a rhombus are 8 cm and 12 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  11. 11.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  12. 12.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  13. 13.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  14. 14.The diagonals of a rhombus are 8 cm and 16 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 7 cm and 23 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 4 cm and 10 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  17. 17.A room is 10 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has parallel sides of 11 cm and 19 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  19. 19.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  20. 20.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 21 cm and 12 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  22. 22.A cuboid is 3 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  23. 23.A cuboid is 7 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  24. 24.The diagonals of a rhombus are 30 cm and 9 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 60 square cm. Its parallel sides are 12 cm and 8 cm. What is the distance between them (in cm)?
  26. 26.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  27. 27.The diagonals of a rhombus are 26 cm and 25 cm. What is its area (in square cm)?
  28. 28.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.A cuboid is 11 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  30. 30.A room is 3 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  31. 31.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  32. 32.A cuboid is 3 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  33. 33.The diagonals of a rhombus are 20 cm and 11 cm. What is its area (in square cm)?
  34. 34.A trapezium has an area of 17 square cm. Its parallel sides are 14 cm and 3 cm. What is the distance between them (in cm)?
  35. 35.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  36. 36.The diagonals of a rhombus are 22 cm and 8 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 8 cm and 24 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  38. 38.A trapezium has an area of 352 square cm. Its parallel sides are 24 cm and 20 cm. What is the distance between them (in cm)?
  39. 39.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  40. 40.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?

Answer key

  1. 620
  2. 6
  3. 864
  4. 168
  5. 14
  6. 1944
  7. 138
  8. 726
  9. 48
  10. 2166
  11. 7
  12. 18
  13. 54
  14. 64
  15. 135
  16. 42
  17. 150
  18. 45
  19. 600
  20. 1536
  21. 231
  22. 294
  23. 446
  24. 135
  25. 6
  26. 2400
  27. 325
  28. 90
  29. 200
  30. 96
  31. 15
  32. 42
  33. 110
  34. 2
  35. 150
  36. 88
  37. 224
  38. 16
  39. 1734
  40. 17

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