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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 278 · 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 6 cm and 10 cm. What is its area (in square cm)?
  2. 2.A cuboid is 15 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has parallel sides of 22 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 8 cm and 13 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  5. 5.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  6. 6.A trapezium has parallel sides of 25 cm and 13 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 108 square cm. Its parallel sides are 8 cm and 10 cm. What is the distance between them (in cm)?
  8. 8.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  9. 9.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  10. 10.A cuboid is 4 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  11. 11.The diagonals of a rhombus are 20 cm and 22 cm. What is its area (in square cm)?
  12. 12.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  13. 13.A room is 8 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  15. 15.A cuboid is 8 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has parallel sides of 15 cm and 2 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 114 square cm. Its parallel sides are 7 cm and 12 cm. What is the distance between them (in cm)?
  18. 18.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  19. 19.A cuboid is 13 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 24 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
  22. 22.A trapezium has an area of 54 square cm. Its parallel sides are 14 cm and 4 cm. What is the distance between them (in cm)?
  23. 23.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  24. 24.A trapezium has parallel sides of 18 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  25. 25.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  26. 26.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  27. 27.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  29. 29.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.The diagonals of a rhombus are 22 cm and 26 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  32. 32.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  33. 33.A room is 8 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.A cuboid is 10 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.The diagonals of a rhombus are 20 cm and 5 cm. What is its area (in square cm)?
  36. 36.A cuboid is 15 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  37. 37.The diagonals of a rhombus are 28 cm and 28 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 29 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  40. 40.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?

Answer key

  1. 30
  2. 386
  3. 45
  4. 105
  5. 16
  6. 228
  7. 12
  8. 5
  9. 10
  10. 164
  11. 220
  12. 2904
  13. 170
  14. 150
  15. 280
  16. 68
  17. 12
  18. 3750
  19. 498
  20. 78
  21. 60
  22. 6
  23. 6
  24. 126
  25. 1734
  26. 80
  27. 72
  28. 486
  29. 112
  30. 286
  31. 384
  32. 1536
  33. 128
  34. 280
  35. 50
  36. 366
  37. 392
  38. 1176
  39. 123
  40. 7

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