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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 61 · 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 13 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
  2. 2.A cuboid is 9 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  3. 3.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  4. 4.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  5. 5.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  6. 6.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  8. 8.A trapezium has an area of 304 square cm. Its parallel sides are 25 cm and 13 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has parallel sides of 10 cm and 26 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  11. 11.A cuboid is 10 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  12. 12.The diagonals of a rhombus are 12 cm and 3 cm. What is its area (in square cm)?
  13. 13.A cuboid is 11 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  14. 14.A room is 11 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.A trapezium has parallel sides of 4 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  17. 17.A room is 8 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has parallel sides of 9 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  19. 19.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 7 cm and 22 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  21. 21.A cuboid is 3 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  22. 22.A cuboid is 3 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  23. 23.A cuboid is 7 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  24. 24.A cuboid is 7 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  25. 25.The diagonals of a rhombus are 30 cm and 10 cm. What is its area (in square cm)?
  26. 26.A cuboid is 15 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 68 square cm. Its parallel sides are 11 cm and 6 cm. What is the distance between them (in cm)?
  28. 28.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  29. 29.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  30. 30.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
  31. 31.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  32. 32.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  33. 33.A cuboid is 14 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 19 cm and 4 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  35. 35.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  36. 36.The diagonals of a rhombus are 28 cm and 7 cm. What is its area (in square cm)?
  37. 37.A cuboid is 5 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  38. 38.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  39. 39.A cuboid is 12 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  40. 40.A trapezium has parallel sides of 11 cm and 24 cm, and the distance between them is 10 cm. What is its area (in square cm)?

Answer key

  1. 502
  2. 294
  3. 2400
  4. 3456
  5. 13
  6. 136
  7. 1350
  8. 16
  9. 72
  10. 1176
  11. 248
  12. 18
  13. 328
  14. 96
  15. 24
  16. 2
  17. 88
  18. 105
  19. 58
  20. 290
  21. 122
  22. 126
  23. 142
  24. 222
  25. 150
  26. 650
  27. 8
  28. 6
  29. 16
  30. 21
  31. 19
  32. 3174
  33. 488
  34. 46
  35. 9
  36. 98
  37. 324
  38. 4
  39. 288
  40. 175

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