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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 228 · 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 2166 square cm. How long is each edge (in cm)?
  2. 2.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  3. 3.A cuboid is 4 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  4. 4.A room is 4 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.A cuboid is 13 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 10 cm and 26 cm. What is its area (in square cm)?
  7. 7.A cuboid is 3 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  8. 8.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  9. 9.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  10. 10.A trapezium has an area of 121 square cm. Its parallel sides are 4 cm and 18 cm. What is the distance between them (in cm)?
  11. 11.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  12. 12.The diagonals of a rhombus are 18 cm and 12 cm. What is its area (in square cm)?
  13. 13.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  14. 14.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  15. 15.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  16. 16.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  17. 17.The diagonals of a rhombus are 22 cm and 13 cm. What is its area (in square cm)?
  18. 18.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  19. 19.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.A cuboid is 13 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  21. 21.A cuboid is 14 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  22. 22.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.A cuboid is 7 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.A trapezium has an area of 248 square cm. Its parallel sides are 17 cm and 14 cm. What is the distance between them (in cm)?
  26. 26.A room is 11 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  27. 27.A cuboid is 4 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  28. 28.A cuboid is 15 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 195 square cm. Its parallel sides are 7 cm and 23 cm. What is the distance between them (in cm)?
  30. 30.A trapezium has an area of 15 square cm. Its parallel sides are 4 cm and 6 cm. What is the distance between them (in cm)?
  31. 31.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  32. 32.A cuboid is 12 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  33. 33.A cuboid is 7 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  35. 35.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  36. 36.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  37. 37.A trapezium has an area of 76 square cm. Its parallel sides are 10 cm and 9 cm. What is the distance between them (in cm)?
  38. 38.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has an area of 243 square cm. Its parallel sides are 28 cm and 26 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has an area of 90 square cm. Its parallel sides are 23 cm and 22 cm. What is the distance between them (in cm)?

Answer key

  1. 19
  2. 9
  3. 122
  4. 100
  5. 302
  6. 130
  7. 372
  8. 1350
  9. 5
  10. 11
  11. 11
  12. 108
  13. 1536
  14. 486
  15. 3174
  16. 4
  17. 143
  18. 1014
  19. 66
  20. 812
  21. 482
  22. 120
  23. 82
  24. 170
  25. 16
  26. 210
  27. 358
  28. 400
  29. 13
  30. 3
  31. 10
  32. 288
  33. 154
  34. 3456
  35. 7
  36. 17
  37. 8
  38. 726
  39. 9
  40. 4

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