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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 219 · 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).

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  1. 1.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 12 cm and 5 cm. What is its area (in square cm)?
  3. 3.A trapezium has an area of 336 square cm. Its parallel sides are 30 cm and 18 cm. What is the distance between them (in cm)?
  4. 4.The diagonals of a rhombus are 16 cm and 9 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 21 cm and 20 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  6. 6.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  9. 9.The diagonals of a rhombus are 12 cm and 23 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  11. 11.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  12. 12.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
  13. 13.A cuboid is 9 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  14. 14.A trapezium has an area of 33 square cm. Its parallel sides are 5 cm and 6 cm. What is the distance between them (in cm)?
  15. 15.The diagonals of a rhombus are 8 cm and 6 cm. What is its area (in square cm)?
  16. 16.A cuboid is 12 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  17. 17.A cuboid is 6 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  18. 18.A cuboid is 7 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  19. 19.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.The diagonals of a rhombus are 6 cm and 15 cm. What is its area (in square cm)?
  21. 21.A cuboid is 15 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  22. 22.The diagonals of a rhombus are 24 cm and 17 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 162 square cm. Its parallel sides are 12 cm and 24 cm. What is the distance between them (in cm)?
  25. 25.A trapezium has parallel sides of 19 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 33 square cm. Its parallel sides are 15 cm and 18 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has an area of 14 square cm. Its parallel sides are 9 cm and 5 cm. What is the distance between them (in cm)?
  29. 29.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  30. 30.A trapezium has parallel sides of 23 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  31. 31.A trapezium has parallel sides of 20 cm and 12 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  32. 32.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  33. 33.The diagonals of a rhombus are 30 cm and 25 cm. What is its area (in square cm)?
  34. 34.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 16 cm and 18 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  36. 36.A cuboid is 3 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 25 cm and 24 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  38. 38.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  39. 39.The diagonals of a rhombus are 30 cm and 29 cm. What is its area (in square cm)?
  40. 40.A cuboid is 4 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?

Answer key

  1. 1944
  2. 30
  3. 14
  4. 72
  5. 41
  6. 78
  7. 120
  8. 16
  9. 138
  10. 2646
  11. 4
  12. 42
  13. 190
  14. 6
  15. 24
  16. 222
  17. 234
  18. 214
  19. 84
  20. 45
  21. 332
  22. 204
  23. 112
  24. 9
  25. 33
  26. 864
  27. 2
  28. 2
  29. 20
  30. 294
  31. 32
  32. 3750
  33. 375
  34. 384
  35. 272
  36. 90
  37. 196
  38. 11
  39. 435
  40. 148

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