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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 30 · 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.A cuboid is 5 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  2. 2.A cuboid is 11 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has parallel sides of 30 cm and 20 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  4. 4.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  6. 6.A trapezium has an area of 15 square cm. Its parallel sides are 7 cm and 8 cm. What is the distance between them (in cm)?
  7. 7.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  8. 8.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
  9. 9.A cuboid is 13 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  10. 10.A trapezium has parallel sides of 14 cm and 22 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  12. 12.The diagonals of a rhombus are 28 cm and 22 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  14. 14.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 87 square cm. Its parallel sides are 27 cm and 2 cm. What is the distance between them (in cm)?
  16. 16.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.A trapezium has parallel sides of 10 cm and 7 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  18. 18.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?
  19. 19.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  20. 20.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
  21. 21.A trapezium has an area of 135 square cm. Its parallel sides are 26 cm and 19 cm. What is the distance between them (in cm)?
  22. 22.A trapezium has parallel sides of 6 cm and 16 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  23. 23.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  25. 25.A trapezium has parallel sides of 28 cm and 14 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  26. 26.A trapezium has an area of 340 square cm. Its parallel sides are 19 cm and 21 cm. What is the distance between them (in cm)?
  27. 27.The diagonals of a rhombus are 16 cm and 15 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 22 cm and 14 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  29. 29.A room is 7 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  31. 31.A cuboid is 12 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 19 cm and 23 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 4 cm and 30 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  34. 34.A trapezium has an area of 36 square cm. Its parallel sides are 24 cm and 12 cm. What is the distance between them (in cm)?
  35. 35.A trapezium has an area of 297 square cm. Its parallel sides are 22 cm and 11 cm. What is the distance between them (in cm)?
  36. 36.The diagonals of a rhombus are 4 cm and 20 cm. What is its area (in square cm)?
  37. 37.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  38. 38.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  40. 40.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?

Answer key

  1. 280
  2. 418
  3. 75
  4. 180
  5. 2400
  6. 2
  7. 5
  8. 96
  9. 274
  10. 360
  11. 6
  12. 308
  13. 2
  14. 216
  15. 6
  16. 102
  17. 17
  18. 95
  19. 384
  20. 24
  21. 6
  22. 121
  23. 3456
  24. 16
  25. 105
  26. 17
  27. 120
  28. 198
  29. 100
  30. 8
  31. 192
  32. 63
  33. 51
  34. 2
  35. 18
  36. 40
  37. 9
  38. 2646
  39. 19
  40. 12

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