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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 74 · 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 trapezium has parallel sides of 4 cm and 9 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  2. 2.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.The diagonals of a rhombus are 24 cm and 19 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  5. 5.A cuboid is 14 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  6. 6.A room is 9 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.The diagonals of a rhombus are 30 cm and 8 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  9. 9.The diagonals of a rhombus are 14 cm and 7 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 153 square cm. Its parallel sides are 18 cm and 16 cm. What is the distance between them (in cm)?
  11. 11.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 24 cm and 6 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  14. 14.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  15. 15.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  16. 16.A cuboid is 13 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  17. 17.The diagonals of a rhombus are 4 cm and 18 cm. What is its area (in square cm)?
  18. 18.A cuboid is 15 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  20. 20.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 28 cm and 29 cm. What is its area (in square cm)?
  22. 22.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  24. 24.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  26. 26.A trapezium has an area of 54 square cm. Its parallel sides are 5 cm and 4 cm. What is the distance between them (in cm)?
  27. 27.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  28. 28.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.A trapezium has an area of 361 square cm. Its parallel sides are 30 cm and 8 cm. What is the distance between them (in cm)?
  30. 30.A cuboid is 5 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  31. 31.A cuboid is 3 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  32. 32.A cuboid is 10 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  33. 33.The diagonals of a rhombus are 8 cm and 16 cm. What is its area (in square cm)?
  34. 34.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  35. 35.The diagonals of a rhombus are 4 cm and 14 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 150 square cm. Its parallel sides are 20 cm and 5 cm. What is the distance between them (in cm)?
  37. 37.The diagonals of a rhombus are 12 cm and 16 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 4 cm and 14 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  39. 39.A room is 4 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has an area of 231 square cm. Its parallel sides are 4 cm and 29 cm. What is the distance between them (in cm)?

Answer key

  1. 91
  2. 152
  3. 228
  4. 3750
  5. 256
  6. 90
  7. 120
  8. 8
  9. 49
  10. 9
  11. 87
  12. 72
  13. 7
  14. 96
  15. 70
  16. 766
  17. 36
  18. 606
  19. 2
  20. 1176
  21. 406
  22. 120
  23. 5
  24. 140
  25. 19
  26. 12
  27. 1536
  28. 66
  29. 19
  30. 230
  31. 90
  32. 480
  33. 64
  34. 112
  35. 28
  36. 12
  37. 96
  38. 90
  39. 66
  40. 14

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