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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 120 · 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 trapezium has an area of 22 square cm. Its parallel sides are 4 cm and 7 cm. What is the distance between them (in cm)?
  2. 2.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  3. 3.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  4. 4.A trapezium has parallel sides of 17 cm and 13 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 5 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  6. 6.The diagonals of a rhombus are 12 cm and 3 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 323 square cm. Its parallel sides are 11 cm and 27 cm. What is the distance between them (in cm)?
  8. 8.The diagonals of a rhombus are 20 cm and 15 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 14 cm and 6 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 85 square cm. Its parallel sides are 5 cm and 29 cm. What is the distance between them (in cm)?
  11. 11.A room is 11 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  12. 12.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  13. 13.A cuboid is 11 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  14. 14.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  15. 15.A room is 5 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  16. 16.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  17. 17.A trapezium has an area of 126 square cm. Its parallel sides are 10 cm and 18 cm. What is the distance between them (in cm)?
  18. 18.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  20. 20.The diagonals of a rhombus are 10 cm and 26 cm. What is its area (in square cm)?
  21. 21.A cuboid is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has parallel sides of 10 cm and 6 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  23. 23.A cuboid is 4 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.The diagonals of a rhombus are 26 cm and 16 cm. What is its area (in square cm)?
  25. 25.A cuboid is 8 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  26. 26.A trapezium has parallel sides of 19 cm and 5 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  27. 27.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  28. 28.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  29. 29.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  30. 30.The diagonals of a rhombus are 24 cm and 15 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 63 square cm. Its parallel sides are 12 cm and 6 cm. What is the distance between them (in cm)?
  32. 32.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  33. 33.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  34. 34.A trapezium has an area of 306 square cm. Its parallel sides are 13 cm and 21 cm. What is the distance between them (in cm)?
  35. 35.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.A cuboid is 13 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  37. 37.A cuboid is 11 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
  38. 38.The diagonals of a rhombus are 22 cm and 10 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 22 cm and 4 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  40. 40.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?

Answer key

  1. 4
  2. 7
  3. 1014
  4. 90
  5. 42
  6. 18
  7. 17
  8. 150
  9. 42
  10. 5
  11. 152
  12. 726
  13. 318
  14. 108
  15. 112
  16. 14
  17. 9
  18. 2166
  19. 4
  20. 130
  21. 160
  22. 32
  23. 124
  24. 208
  25. 136
  26. 60
  27. 5
  28. 13
  29. 6
  30. 180
  31. 7
  32. 12
  33. 150
  34. 18
  35. 160
  36. 382
  37. 494
  38. 110
  39. 221
  40. 110

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