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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 221 · 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 150 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has parallel sides of 26 cm and 29 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  4. 4.A trapezium has an area of 350 square cm. Its parallel sides are 22 cm and 13 cm. What is the distance between them (in cm)?
  5. 5.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 9 cm and 27 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 58 square cm. Its parallel sides are 11 cm and 18 cm. What is the distance between them (in cm)?
  9. 9.A cuboid is 8 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 24 cm and 29 cm. What is its area (in square cm)?
  11. 11.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.A trapezium has an area of 299 square cm. Its parallel sides are 24 cm and 22 cm. What is the distance between them (in cm)?
  13. 13.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  14. 14.A cuboid is 8 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  15. 15.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 294 square cm. Its parallel sides are 25 cm and 17 cm. What is the distance between them (in cm)?
  17. 17.A cuboid is 7 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has parallel sides of 23 cm and 26 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  22. 22.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has parallel sides of 6 cm and 19 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  24. 24.The diagonals of a rhombus are 22 cm and 28 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 6 cm and 26 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  27. 27.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  28. 28.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  30. 30.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  31. 31.A room is 9 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.A room is 9 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.A cuboid is 14 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  34. 34.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  35. 35.The diagonals of a rhombus are 4 cm and 4 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 266 square cm. Its parallel sides are 4 cm and 24 cm. What is the distance between them (in cm)?
  37. 37.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  38. 38.A cuboid is 5 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  39. 39.A cuboid is 4 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  40. 40.A trapezium has an area of 225 square cm. Its parallel sides are 26 cm and 4 cm. What is the distance between them (in cm)?

Answer key

  1. 5
  2. 385
  3. 108
  4. 20
  5. 1176
  6. 14
  7. 180
  8. 4
  9. 252
  10. 348
  11. 84
  12. 13
  13. 384
  14. 246
  15. 294
  16. 14
  17. 238
  18. 54
  19. 12
  20. 441
  21. 3
  22. 90
  23. 200
  24. 308
  25. 176
  26. 8
  27. 1014
  28. 90
  29. 1350
  30. 1944
  31. 108
  32. 112
  33. 220
  34. 2400
  35. 8
  36. 19
  37. 4
  38. 148
  39. 88
  40. 15

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