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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 184 · 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 16 cm. What is its total surface area (in square cm)?
  2. 2.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  3. 3.The diagonals of a rhombus are 6 cm and 6 cm. What is its area (in square cm)?
  4. 4.The diagonals of a rhombus are 22 cm and 25 cm. What is its area (in square cm)?
  5. 5.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  6. 6.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 18 cm and 4 cm. What is its area (in square cm)?
  8. 8.A room is 9 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.A cuboid is 9 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  11. 11.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  12. 12.A trapezium has parallel sides of 20 cm and 17 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 14 cm and 26 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 15 cm and 2 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  15. 15.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has parallel sides of 13 cm and 15 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  17. 17.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A cuboid is 14 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  19. 19.A cuboid is 5 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  20. 20.A cuboid is 13 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  21. 21.A cuboid is 14 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  22. 22.A cuboid is 10 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  23. 23.A cuboid is 10 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  25. 25.A cuboid is 9 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  26. 26.The diagonals of a rhombus are 4 cm and 26 cm. What is its area (in square cm)?
  27. 27.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  28. 28.A trapezium has an area of 440 square cm. Its parallel sides are 26 cm and 29 cm. What is the distance between them (in cm)?
  29. 29.A trapezium has an area of 57 square cm. Its parallel sides are 15 cm and 4 cm. What is the distance between them (in cm)?
  30. 30.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 28 cm and 21 cm. What is its area (in square cm)?
  32. 32.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  33. 33.The diagonals of a rhombus are 30 cm and 16 cm. What is its area (in square cm)?
  34. 34.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  35. 35.The diagonals of a rhombus are 22 cm and 4 cm. What is its area (in square cm)?
  36. 36.A room is 5 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.A room is 6 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.A cuboid is 11 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  39. 39.A cuboid is 4 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  40. 40.A trapezium has an area of 13 square cm. Its parallel sides are 4 cm and 9 cm. What is the distance between them (in cm)?

Answer key

  1. 1536
  2. 10
  3. 18
  4. 275
  5. 130
  6. 486
  7. 36
  8. 144
  9. 558
  10. 5
  11. 6
  12. 259
  13. 182
  14. 136
  15. 7
  16. 42
  17. 144
  18. 436
  19. 160
  20. 206
  21. 280
  22. 242
  23. 112
  24. 2166
  25. 486
  26. 52
  27. 56
  28. 16
  29. 6
  30. 70
  31. 294
  32. 13
  33. 240
  34. 8
  35. 44
  36. 60
  37. 66
  38. 328
  39. 76
  40. 2

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