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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 200 · 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.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  2. 2.A cuboid is 10 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has parallel sides of 8 cm and 12 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 4 cm and 11 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  5. 5.A cuboid is 3 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  6. 6.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 30 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  8. 8.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 22 cm and 20 cm. What is its area (in square cm)?
  11. 11.A trapezium has an area of 56 square cm. Its parallel sides are 17 cm and 11 cm. What is the distance between them (in cm)?
  12. 12.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  13. 13.A cuboid is 7 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  14. 14.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  15. 15.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has an area of 204 square cm. Its parallel sides are 14 cm and 20 cm. What is the distance between them (in cm)?
  17. 17.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  18. 18.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
  19. 19.A trapezium has an area of 510 square cm. Its parallel sides are 30 cm and 21 cm. What is the distance between them (in cm)?
  20. 20.A cuboid is 15 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
  21. 21.A cuboid is 9 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  22. 22.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  23. 23.A cuboid is 8 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  24. 24.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 7 cm and 12 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 15 cm and 28 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  27. 27.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  28. 28.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
  29. 29.A cuboid is 8 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  30. 30.A cuboid is 9 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
  32. 32.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  33. 33.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has an area of 150 square cm. Its parallel sides are 7 cm and 8 cm. What is the distance between them (in cm)?
  35. 35.A trapezium has an area of 234 square cm. Its parallel sides are 11 cm and 25 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has parallel sides of 15 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  37. 37.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  38. 38.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  39. 39.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  40. 40.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?

Answer key

  1. 19
  2. 312
  3. 170
  4. 60
  5. 144
  6. 486
  7. 33
  8. 112
  9. 216
  10. 220
  11. 4
  12. 600
  13. 382
  14. 2
  15. 8
  16. 12
  17. 96
  18. 87
  19. 20
  20. 750
  21. 560
  22. 1944
  23. 114
  24. 95
  25. 19
  26. 301
  27. 12
  28. 60
  29. 184
  30. 348
  31. 30
  32. 5
  33. 18
  34. 20
  35. 13
  36. 50
  37. 13
  38. 4
  39. 1014
  40. 150

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