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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 227 · 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.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has an area of 40 square cm. Its parallel sides are 7 cm and 3 cm. What is the distance between them (in cm)?
  3. 3.The diagonals of a rhombus are 10 cm and 4 cm. What is its area (in square cm)?
  4. 4.A cuboid is 13 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  5. 5.A trapezium has parallel sides of 15 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 22 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 18 cm and 17 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has an area of 25 square cm. Its parallel sides are 11 cm and 14 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 8 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  11. 11.A cuboid is 5 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  12. 12.A cuboid is 14 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  13. 13.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  14. 14.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  15. 15.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  16. 16.A trapezium has parallel sides of 23 cm and 13 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  17. 17.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has an area of 174 square cm. Its parallel sides are 26 cm and 3 cm. What is the distance between them (in cm)?
  19. 19.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  20. 20.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  21. 21.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  22. 22.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  23. 23.A room is 10 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.The diagonals of a rhombus are 16 cm and 29 cm. What is its area (in square cm)?
  25. 25.The diagonals of a rhombus are 10 cm and 9 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  27. 27.A cuboid is 12 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  28. 28.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  29. 29.A cuboid is 12 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  30. 30.A trapezium has an area of 330 square cm. Its parallel sides are 26 cm and 29 cm. What is the distance between them (in cm)?
  31. 31.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  33. 33.A trapezium has an area of 140 square cm. Its parallel sides are 17 cm and 18 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has parallel sides of 18 cm and 9 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 28 cm and 4 cm. What is its area (in square cm)?
  37. 37.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.The diagonals of a rhombus are 14 cm and 6 cm. What is its area (in square cm)?
  39. 39.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  40. 40.A cuboid is 8 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?

Answer key

  1. 3
  2. 8
  3. 20
  4. 142
  5. 50
  6. 225
  7. 35
  8. 4
  9. 2
  10. 51
  11. 166
  12. 406
  13. 14
  14. 54
  15. 2646
  16. 36
  17. 120
  18. 12
  19. 10
  20. 13
  21. 216
  22. 96
  23. 78
  24. 232
  25. 45
  26. 1014
  27. 290
  28. 12
  29. 460
  30. 12
  31. 160
  32. 96
  33. 8
  34. 162
  35. 120
  36. 56
  37. 60
  38. 42
  39. 7
  40. 112

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