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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 172 · 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 room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.A cuboid is 8 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  3. 3.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has an area of 93 square cm. Its parallel sides are 6 cm and 25 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.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 18 cm and 22 cm. What is its area (in square cm)?
  9. 9.A trapezium has parallel sides of 26 cm and 17 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  10. 10.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  12. 12.A trapezium has parallel sides of 21 cm and 11 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  14. 14.A trapezium has an area of 276 square cm. Its parallel sides are 29 cm and 17 cm. What is the distance between them (in cm)?
  15. 15.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  16. 16.A room is 7 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.A cuboid is 14 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  18. 18.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?
  19. 19.A cuboid is 15 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  20. 20.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.A cuboid is 5 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  22. 22.The diagonals of a rhombus are 24 cm and 4 cm. What is its area (in square cm)?
  23. 23.A cuboid is 11 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  25. 25.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  26. 26.A trapezium has an area of 19 square cm. Its parallel sides are 8 cm and 11 cm. What is the distance between them (in cm)?
  27. 27.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.A trapezium has an area of 81 square cm. Its parallel sides are 28 cm and 26 cm. What is the distance between them (in cm)?
  29. 29.The diagonals of a rhombus are 26 cm and 5 cm. What is its area (in square cm)?
  30. 30.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.A cuboid is 15 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  32. 32.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 7 cm and 14 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  34. 34.A trapezium has an area of 144 square cm. Its parallel sides are 14 cm and 22 cm. What is the distance between them (in cm)?
  35. 35.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.A cuboid is 11 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 23 cm and 11 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  38. 38.A trapezium has an area of 93 square cm. Its parallel sides are 8 cm and 23 cm. What is the distance between them (in cm)?
  39. 39.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
  40. 40.A room is 6 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 150
  2. 272
  3. 16
  4. 6
  5. 1176
  6. 726
  7. 60
  8. 198
  9. 43
  10. 160
  11. 4
  12. 48
  13. 6
  14. 12
  15. 2646
  16. 96
  17. 328
  18. 95
  19. 900
  20. 150
  21. 310
  22. 48
  23. 328
  24. 9
  25. 1734
  26. 2
  27. 114
  28. 3
  29. 65
  30. 72
  31. 348
  32. 143
  33. 189
  34. 8
  35. 60
  36. 398
  37. 136
  38. 6
  39. 21
  40. 84

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