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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 24 · 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.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 22 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 8 cm and 13 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.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 18 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 49 square cm. Its parallel sides are 23 cm and 26 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has parallel sides of 29 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  11. 11.A room is 8 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  13. 13.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  14. 14.A trapezium has parallel sides of 8 cm and 15 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  15. 15.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  16. 16.A trapezium has parallel sides of 23 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 26 cm and 27 cm. What is its area (in square cm)?
  18. 18.A cuboid is 13 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  20. 20.The diagonals of a rhombus are 4 cm and 12 cm. What is its area (in square cm)?
  21. 21.A cuboid is 9 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has an area of 405 square cm. Its parallel sides are 26 cm and 28 cm. What is the distance between them (in cm)?
  23. 23.A cuboid is 4 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  25. 25.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  26. 26.A cuboid is 5 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 12 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 8 cm and 10 cm. What is its area (in square cm)?
  29. 29.A cuboid is 3 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 26 cm and 7 cm. What is its area (in square cm)?
  31. 31.A room is 7 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  33. 33.A trapezium has parallel sides of 21 cm and 4 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  34. 34.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 6 cm and 24 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 7 cm and 13 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  37. 37.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  38. 38.A trapezium has an area of 323 square cm. Its parallel sides are 21 cm and 13 cm. What is the distance between them (in cm)?
  39. 39.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  40. 40.A room is 3 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 3456
  2. 82
  3. 216
  4. 52
  5. 16
  6. 2646
  7. 54
  8. 2
  9. 74
  10. 8
  11. 84
  12. 15
  13. 96
  14. 161
  15. 112
  16. 155
  17. 351
  18. 206
  19. 7
  20. 24
  21. 384
  22. 15
  23. 136
  24. 12
  25. 13
  26. 258
  27. 273
  28. 40
  29. 268
  30. 91
  31. 130
  32. 600
  33. 200
  34. 54
  35. 90
  36. 180
  37. 1014
  38. 19
  39. 19
  40. 78

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