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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 286 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has an area of 54 square cm. Its parallel sides are 8 cm and 4 cm. What is the distance between them (in cm)?
  3. 3.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  4. 4.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  6. 6.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has an area of 65 square cm. Its parallel sides are 6 cm and 7 cm. What is the distance between them (in cm)?
  8. 8.A trapezium has parallel sides of 9 cm and 17 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  9. 9.A cuboid is 6 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  10. 10.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 9 cm and 8 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  12. 12.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  13. 13.A cuboid is 15 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  14. 14.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  15. 15.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
  16. 16.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.A trapezium has an area of 35 square cm. Its parallel sides are 22 cm and 13 cm. What is the distance between them (in cm)?
  18. 18.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  19. 19.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  20. 20.A trapezium has an area of 87 square cm. Its parallel sides are 26 cm and 3 cm. What is the distance between them (in cm)?
  21. 21.A cuboid is 7 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has an area of 18 square cm. Its parallel sides are 14 cm and 4 cm. What is the distance between them (in cm)?
  23. 23.The diagonals of a rhombus are 22 cm and 28 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 168 square cm. Its parallel sides are 19 cm and 2 cm. What is the distance between them (in cm)?
  25. 25.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has parallel sides of 5 cm and 10 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 26 cm and 27 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  28. 28.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 24 cm and 10 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  30. 30.A trapezium has parallel sides of 10 cm and 27 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  31. 31.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 296 square cm. Its parallel sides are 29 cm and 8 cm. What is the distance between them (in cm)?
  34. 34.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
  36. 36.A cuboid is 12 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  37. 37.A room is 7 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has an area of 180 square cm. Its parallel sides are 11 cm and 7 cm. What is the distance between them (in cm)?
  40. 40.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?

Answer key

  1. 11
  2. 9
  3. 3174
  4. 54
  5. 216
  6. 294
  7. 10
  8. 39
  9. 214
  10. 54
  11. 102
  12. 726
  13. 298
  14. 5
  15. 42
  16. 48
  17. 2
  18. 12
  19. 3750
  20. 6
  21. 276
  22. 2
  23. 308
  24. 16
  25. 112
  26. 60
  27. 371
  28. 60
  29. 255
  30. 222
  31. 90
  32. 1944
  33. 16
  34. 120
  35. 112
  36. 512
  37. 140
  38. 864
  39. 20
  40. 96

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