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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 49 · 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 16 cm. What is its area (in square cm)?
  2. 2.A trapezium has an area of 228 square cm. Its parallel sides are 18 cm and 20 cm. What is the distance between them (in cm)?
  3. 3.A trapezium has parallel sides of 17 cm and 7 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  4. 4.The diagonals of a rhombus are 12 cm and 8 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 5 cm and 22 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 13 cm and 4 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  7. 7.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.The diagonals of a rhombus are 6 cm and 22 cm. What is its area (in square cm)?
  9. 9.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  10. 10.A trapezium has parallel sides of 10 cm and 25 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  11. 11.A cuboid is 3 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  12. 12.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 13 cm and 11 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  14. 14.A trapezium has an area of 315 square cm. Its parallel sides are 20 cm and 25 cm. What is the distance between them (in cm)?
  15. 15.The diagonals of a rhombus are 10 cm and 20 cm. What is its area (in square cm)?
  16. 16.A cuboid is 4 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  17. 17.A cuboid is 7 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  18. 18.A cuboid is 12 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  19. 19.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.A cuboid is 3 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  21. 21.A cuboid is 9 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  22. 22.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  23. 23.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  25. 25.A trapezium has an area of 62 square cm. Its parallel sides are 24 cm and 7 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has parallel sides of 21 cm and 13 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  27. 27.A cuboid is 5 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 22 cm and 5 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 5 cm and 17 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  30. 30.A room is 11 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  32. 32.The diagonals of a rhombus are 6 cm and 21 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 10 cm and 2 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 20 cm and 30 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  35. 35.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 522 square cm. Its parallel sides are 28 cm and 30 cm. What is the distance between them (in cm)?
  37. 37.A cuboid is 14 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 30 cm and 19 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  39. 39.A room is 11 m long, 5 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 11 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?

Answer key

  1. 32
  2. 12
  3. 156
  4. 48
  5. 243
  6. 68
  7. 60
  8. 66
  9. 8
  10. 245
  11. 122
  12. 2166
  13. 108
  14. 14
  15. 100
  16. 352
  17. 222
  18. 324
  19. 90
  20. 122
  21. 450
  22. 10
  23. 1734
  24. 3
  25. 4
  26. 102
  27. 270
  28. 216
  29. 77
  30. 210
  31. 18
  32. 63
  33. 114
  34. 425
  35. 1944
  36. 18
  37. 120
  38. 245
  39. 128
  40. 210

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