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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 258 · 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 6 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  2. 2.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 186 square cm. Its parallel sides are 15 cm and 16 cm. What is the distance between them (in cm)?
  4. 4.A trapezium has parallel sides of 16 cm and 5 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  7. 7.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  8. 8.The diagonals of a rhombus are 14 cm and 4 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 289 square cm. Its parallel sides are 30 cm and 4 cm. What is the distance between them (in cm)?
  11. 11.A room is 12 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  12. 12.The diagonals of a rhombus are 4 cm and 25 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 27 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 22 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  15. 15.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 208 square cm. Its parallel sides are 9 cm and 17 cm. What is the distance between them (in cm)?
  17. 17.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has parallel sides of 14 cm and 13 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  19. 19.A room is 3 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  21. 21.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  22. 22.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  23. 23.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  24. 24.The diagonals of a rhombus are 18 cm and 17 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 7 cm and 9 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  26. 26.A cuboid is 15 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 330 square cm. Its parallel sides are 17 cm and 16 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has parallel sides of 24 cm and 12 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  29. 29.A cuboid is 14 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  30. 30.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  31. 31.A cuboid is 10 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 26 cm and 12 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  33. 33.A cuboid is 15 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  34. 34.The diagonals of a rhombus are 4 cm and 26 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 19 cm and 2 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 15 cm and 29 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 169 square cm. Its parallel sides are 17 cm and 9 cm. What is the distance between them (in cm)?
  38. 38.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  39. 39.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has an area of 290 square cm. Its parallel sides are 24 cm and 5 cm. What is the distance between them (in cm)?

Answer key

  1. 184
  2. 1944
  3. 12
  4. 105
  5. 96
  6. 10
  7. 6
  8. 28
  9. 27
  10. 17
  11. 190
  12. 50
  13. 90
  14. 82
  15. 2904
  16. 16
  17. 130
  18. 216
  19. 72
  20. 294
  21. 80
  22. 864
  23. 2
  24. 153
  25. 56
  26. 270
  27. 20
  28. 36
  29. 574
  30. 18
  31. 332
  32. 190
  33. 424
  34. 52
  35. 210
  36. 264
  37. 13
  38. 17
  39. 12
  40. 20

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