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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 272 · 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.The diagonals of a rhombus are 18 cm and 28 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 20 cm and 15 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  3. 3.A cuboid is 10 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  4. 4.A cuboid is 7 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  5. 5.A cuboid is 4 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 19 cm and 16 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 330 square cm. Its parallel sides are 8 cm and 25 cm. What is the distance between them (in cm)?
  8. 8.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  9. 9.A cuboid is 9 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 18 cm and 19 cm. What is its area (in square cm)?
  11. 11.A room is 12 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.A room is 5 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.A trapezium has parallel sides of 13 cm and 12 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  14. 14.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  15. 15.A cuboid is 9 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  16. 16.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  17. 17.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  18. 18.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
  20. 20.A cuboid is 4 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 30 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  22. 22.The diagonals of a rhombus are 8 cm and 12 cm. What is its area (in square cm)?
  23. 23.A cuboid is 9 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.A cuboid is 13 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  26. 26.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.A cuboid is 15 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  28. 28.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  29. 29.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 22 cm and 13 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  32. 32.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  33. 33.Each edge of a cube is 5 cm. What is its total surface 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 30 cm and 5 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 34 square cm. Its parallel sides are 10 cm and 7 cm. What is the distance between them (in cm)?
  37. 37.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  38. 38.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  39. 39.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  40. 40.The diagonals of a rhombus are 24 cm and 4 cm. What is its area (in square cm)?

Answer key

  1. 252
  2. 175
  3. 400
  4. 344
  5. 160
  6. 175
  7. 20
  8. 19
  9. 190
  10. 171
  11. 96
  12. 84
  13. 150
  14. 1734
  15. 102
  16. 3750
  17. 4
  18. 140
  19. 42
  20. 166
  21. 70
  22. 48
  23. 80
  24. 80
  25. 586
  26. 108
  27. 590
  28. 18
  29. 294
  30. 143
  31. 726
  32. 150
  33. 150
  34. 112
  35. 75
  36. 4
  37. 14
  38. 3
  39. 8
  40. 48

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