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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 207 · 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 486 square cm. How long is each edge (in cm)?
  2. 2.A room is 3 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  3. 3.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 6 cm and 18 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 4 cm and 28 cm. What is its area (in square cm)?
  7. 7.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 28 cm and 8 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 20 cm and 23 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 5 cm and 29 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  12. 12.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  13. 13.A trapezium has an area of 37 square cm. Its parallel sides are 26 cm and 11 cm. What is the distance between them (in cm)?
  14. 14.A room is 10 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  15. 15.The diagonals of a rhombus are 4 cm and 9 cm. What is its area (in square cm)?
  16. 16.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  17. 17.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  18. 18.The diagonals of a rhombus are 8 cm and 28 cm. What is its area (in square cm)?
  19. 19.A cuboid is 5 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  20. 20.The diagonals of a rhombus are 4 cm and 10 cm. What is its area (in square cm)?
  21. 21.A trapezium has an area of 176 square cm. Its parallel sides are 16 cm and 6 cm. What is the distance between them (in cm)?
  22. 22.The diagonals of a rhombus are 18 cm and 25 cm. What is its area (in square cm)?
  23. 23.A cuboid is 15 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  24. 24.The diagonals of a rhombus are 28 cm and 10 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  26. 26.A cuboid is 15 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  27. 27.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  28. 28.The diagonals of a rhombus are 24 cm and 22 cm. What is its area (in square cm)?
  29. 29.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  30. 30.A trapezium has parallel sides of 8 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 12 cm and 29 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 18 cm and 21 cm. What is its area (in square cm)?
  33. 33.A cuboid is 13 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 13 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  35. 35.A cuboid is 10 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  36. 36.A cuboid is 5 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  37. 37.A cuboid is 5 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 15 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 21 cm and 16 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  40. 40.A cuboid is 14 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?

Answer key

  1. 9
  2. 110
  3. 384
  4. 54
  5. 600
  6. 56
  7. 80
  8. 486
  9. 90
  10. 258
  11. 51
  12. 2646
  13. 2
  14. 112
  15. 18
  16. 60
  17. 16
  18. 112
  19. 62
  20. 20
  21. 16
  22. 225
  23. 600
  24. 140
  25. 2
  26. 800
  27. 150
  28. 264
  29. 15
  30. 140
  31. 174
  32. 189
  33. 612
  34. 230
  35. 276
  36. 174
  37. 302
  38. 270
  39. 259
  40. 288

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