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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 215 · 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 4 cm and 9 cm. What is its area (in square cm)?
  2. 2.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  4. 4.A cuboid is 7 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  5. 5.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  6. 6.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  7. 7.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  8. 8.The diagonals of a rhombus are 8 cm and 23 cm. What is its area (in square cm)?
  9. 9.A trapezium has parallel sides of 17 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 4 cm and 18 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  11. 11.A trapezium has an area of 258 square cm. Its parallel sides are 17 cm and 26 cm. What is the distance between them (in cm)?
  12. 12.A trapezium has parallel sides of 24 cm and 8 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 6 cm and 25 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  14. 14.A room is 6 m long, 8 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 16 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  16. 16.A cuboid is 11 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  17. 17.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A room is 8 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.A room is 4 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.A cuboid is 11 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  21. 21.A cuboid is 7 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  22. 22.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has an area of 96 square cm. Its parallel sides are 20 cm and 4 cm. What is the distance between them (in cm)?
  24. 24.A cuboid is 7 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  25. 25.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A room is 9 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.A trapezium has an area of 36 square cm. Its parallel sides are 9 cm and 3 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has parallel sides of 27 cm and 29 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 19 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  30. 30.A cuboid is 6 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 9 cm and 5 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 14 cm and 22 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  33. 33.A cuboid is 7 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  34. 34.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.A cuboid is 4 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  36. 36.A cuboid is 3 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 7 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 12 cm and 15 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  39. 39.A room is 12 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has parallel sides of 9 cm and 15 cm, and the distance between them is 13 cm. What is its area (in square cm)?

Answer key

  1. 18
  2. 96
  3. 1014
  4. 254
  5. 3
  6. 1176
  7. 10
  8. 92
  9. 175
  10. 154
  11. 12
  12. 192
  13. 93
  14. 84
  15. 35
  16. 640
  17. 96
  18. 72
  19. 100
  20. 234
  21. 190
  22. 7
  23. 8
  24. 118
  25. 150
  26. 102
  27. 6
  28. 84
  29. 141
  30. 72
  31. 14
  32. 108
  33. 166
  34. 96
  35. 128
  36. 138
  37. 160
  38. 108
  39. 120
  40. 156

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