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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 229 · 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 21 square cm. Its parallel sides are 16 cm and 5 cm. What is the distance between them (in cm)?
  3. 3.A room is 9 m long, 4 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, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.A room is 9 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  6. 6.A trapezium has an area of 272 square cm. Its parallel sides are 15 cm and 17 cm. What is the distance between them (in cm)?
  7. 7.A room is 10 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.A trapezium has an area of 50 square cm. Its parallel sides are 9 cm and 16 cm. What is the distance between them (in cm)?
  9. 9.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  10. 10.A trapezium has an area of 231 square cm. Its parallel sides are 8 cm and 25 cm. What is the distance between them (in cm)?
  11. 11.A cuboid is 13 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  12. 12.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  13. 13.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  14. 14.A cuboid is 15 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  15. 15.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  16. 16.The diagonals of a rhombus are 8 cm and 26 cm. What is its area (in square cm)?
  17. 17.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  18. 18.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  19. 19.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  21. 21.A trapezium has an area of 360 square cm. Its parallel sides are 17 cm and 23 cm. What is the distance between them (in cm)?
  22. 22.A trapezium has parallel sides of 21 cm and 13 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 9 cm and 16 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  24. 24.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  25. 25.A room is 8 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A cuboid is 6 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  27. 27.The diagonals of a rhombus are 18 cm and 4 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 16 cm and 24 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 12 cm and 21 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  30. 30.A cuboid is 5 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 24 cm and 26 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 18 cm and 6 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 24 cm and 9 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  34. 34.A trapezium has an area of 336 square cm. Its parallel sides are 20 cm and 28 cm. What is the distance between them (in cm)?
  35. 35.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  36. 36.A trapezium has parallel sides of 10 cm and 22 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 28 cm and 28 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 26 cm and 25 cm. What is its area (in square cm)?
  39. 39.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?

Answer key

  1. 3
  2. 2
  3. 78
  4. 54
  5. 136
  6. 17
  7. 150
  8. 4
  9. 24
  10. 14
  11. 422
  12. 120
  13. 150
  14. 474
  15. 1350
  16. 104
  17. 7
  18. 2
  19. 90
  20. 4
  21. 18
  22. 34
  23. 100
  24. 294
  25. 104
  26. 180
  27. 36
  28. 120
  29. 198
  30. 250
  31. 312
  32. 54
  33. 132
  34. 14
  35. 20
  36. 64
  37. 392
  38. 325
  39. 66
  40. 12

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