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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 175 · 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 diagonals of a rhombus are 22 cm and 4 cm. What is its area (in square cm)?
  2. 2.A trapezium has an area of 370 square cm. Its parallel sides are 21 cm and 16 cm. What is the distance between them (in cm)?
  3. 3.The diagonals of a rhombus are 4 cm and 30 cm. What is its area (in square cm)?
  4. 4.The diagonals of a rhombus are 22 cm and 3 cm. What is its area (in square cm)?
  5. 5.A room is 9 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  6. 6.The diagonals of a rhombus are 4 cm and 13 cm. What is its area (in square cm)?
  7. 7.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  8. 8.A trapezium has parallel sides of 30 cm and 14 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  9. 9.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  10. 10.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 7 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 30 cm and 7 cm. What is its area (in square cm)?
  13. 13.A cuboid is 12 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  14. 14.A trapezium has parallel sides of 9 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  15. 15.The diagonals of a rhombus are 26 cm and 6 cm. What is its area (in square cm)?
  16. 16.A room is 10 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  20. 20.A cuboid is 10 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  21. 21.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.A trapezium has parallel sides of 18 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  23. 23.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 24 cm and 13 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  26. 26.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 22 cm and 27 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  28. 28.A trapezium has an area of 53 square cm. Its parallel sides are 25 cm and 28 cm. What is the distance between them (in cm)?
  29. 29.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  30. 30.The diagonals of a rhombus are 28 cm and 7 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 135 square cm. Its parallel sides are 30 cm and 15 cm. What is the distance between them (in cm)?
  32. 32.A cuboid is 15 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  33. 33.A trapezium has parallel sides of 6 cm and 12 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  34. 34.A cuboid is 5 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 14 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  36. 36.A cuboid is 11 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  37. 37.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  38. 38.A trapezium has an area of 203 square cm. Its parallel sides are 6 cm and 23 cm. What is the distance between them (in cm)?
  39. 39.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has parallel sides of 29 cm and 12 cm, and the distance between them is 8 cm. What is its area (in square cm)?

Answer key

  1. 44
  2. 20
  3. 60
  4. 33
  5. 102
  6. 26
  7. 1734
  8. 220
  9. 19
  10. 96
  11. 190
  12. 105
  13. 594
  14. 60
  15. 78
  16. 136
  17. 96
  18. 384
  19. 5
  20. 320
  21. 108
  22. 215
  23. 1536
  24. 222
  25. 2
  26. 2904
  27. 49
  28. 2
  29. 78
  30. 98
  31. 6
  32. 792
  33. 81
  34. 174
  35. 170
  36. 318
  37. 10
  38. 14
  39. 9
  40. 164

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