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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 313 · 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 7 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 21 cm and 17 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  3. 3.A room is 8 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A room is 5 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 25 cm and 2 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  6. 6.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.The diagonals of a rhombus are 8 cm and 9 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 8 cm and 13 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 126 square cm. Its parallel sides are 22 cm and 6 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 30 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  11. 11.A room is 11 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has an area of 324 square cm. Its parallel sides are 14 cm and 22 cm. What is the distance between them (in cm)?
  14. 14.A trapezium has parallel sides of 22 cm and 20 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 9 cm and 22 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  17. 17.The diagonals of a rhombus are 16 cm and 6 cm. What is its area (in square cm)?
  18. 18.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  19. 19.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has parallel sides of 17 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 20 cm and 24 cm. What is its area (in square cm)?
  22. 22.A trapezium has an area of 46 square cm. Its parallel sides are 5 cm and 18 cm. What is the distance between them (in cm)?
  23. 23.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.A trapezium has parallel sides of 29 cm and 15 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 51 square cm. Its parallel sides are 5 cm and 29 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has an area of 177 square cm. Its parallel sides are 30 cm and 29 cm. What is the distance between them (in cm)?
  27. 27.The diagonals of a rhombus are 10 cm and 23 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 29 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 190 square cm. Its parallel sides are 7 cm and 13 cm. What is the distance between them (in cm)?
  30. 30.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 28 cm and 30 cm. What is its area (in square cm)?
  33. 33.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  34. 34.A trapezium has an area of 105 square cm. Its parallel sides are 9 cm and 6 cm. What is the distance between them (in cm)?
  35. 35.A room is 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.The diagonals of a rhombus are 4 cm and 19 cm. What is its area (in square cm)?
  37. 37.A cuboid is 11 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  38. 38.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  39. 39.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has an area of 54 square cm. Its parallel sides are 12 cm and 24 cm. What is the distance between them (in cm)?

Answer key

  1. 254
  2. 171
  3. 96
  4. 60
  5. 162
  6. 144
  7. 36
  8. 210
  9. 9
  10. 330
  11. 102
  12. 17
  13. 18
  14. 420
  15. 186
  16. 14
  17. 48
  18. 5
  19. 120
  20. 125
  21. 240
  22. 4
  23. 60
  24. 176
  25. 3
  26. 6
  27. 115
  28. 282
  29. 19
  30. 54
  31. 12
  32. 420
  33. 96
  34. 14
  35. 78
  36. 38
  37. 514
  38. 4
  39. 8
  40. 3

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