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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 118 · 40 sums
TalentJR

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 216 square cm. How long is each edge (in cm)?
  2. 2.A cuboid is 4 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has parallel sides of 29 cm and 8 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  4. 4.A cuboid is 6 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  5. 5.A cuboid is 7 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
  7. 7.A cuboid is 3 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  8. 8.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  9. 9.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  10. 10.The diagonals of a rhombus are 10 cm and 13 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  12. 12.The diagonals of a rhombus are 30 cm and 25 cm. What is its area (in square cm)?
  13. 13.A trapezium has an area of 235 square cm. Its parallel sides are 22 cm and 25 cm. What is the distance between them (in cm)?
  14. 14.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 21 cm and 14 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  16. 16.A room is 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.A cuboid is 4 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  18. 18.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.A trapezium has an area of 22 square cm. Its parallel sides are 19 cm and 3 cm. What is the distance between them (in cm)?
  20. 20.A cuboid is 13 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  21. 21.A cuboid is 3 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  22. 22.A cuboid is 9 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  23. 23.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.A cuboid is 4 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has an area of 110 square cm. Its parallel sides are 29 cm and 15 cm. What is the distance between them (in cm)?
  26. 26.A cuboid is 7 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  27. 27.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  28. 28.A trapezium has an area of 209 square cm. Its parallel sides are 30 cm and 8 cm. What is the distance between them (in cm)?
  29. 29.A cuboid is 14 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  30. 30.A cuboid is 15 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  31. 31.A trapezium has an area of 72 square cm. Its parallel sides are 6 cm and 2 cm. What is the distance between them (in cm)?
  32. 32.A trapezium has an area of 204 square cm. Its parallel sides are 15 cm and 9 cm. What is the distance between them (in cm)?
  33. 33.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  34. 34.A room is 8 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.The diagonals of a rhombus are 24 cm and 11 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 6 cm and 11 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  39. 39.A cuboid is 3 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  40. 40.A trapezium has parallel sides of 12 cm and 17 cm, and the distance between them is 14 cm. What is its area (in square cm)?

Answer key

  1. 6
  2. 248
  3. 259
  4. 136
  5. 276
  6. 55
  7. 318
  8. 24
  9. 5
  10. 65
  11. 3
  12. 375
  13. 10
  14. 2166
  15. 175
  16. 78
  17. 150
  18. 150
  19. 2
  20. 490
  21. 126
  22. 342
  23. 64
  24. 150
  25. 5
  26. 434
  27. 3456
  28. 11
  29. 488
  30. 298
  31. 18
  32. 17
  33. 1734
  34. 170
  35. 132
  36. 33
  37. 207
  38. 2400
  39. 66
  40. 203

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