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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 157 · 40 sums
TalentJR

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 7 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.The diagonals of a rhombus are 14 cm and 4 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has an area of 190 square cm. Its parallel sides are 16 cm and 22 cm. What is the distance between them (in cm)?
  5. 5.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 10 cm and 21 cm. What is its area (in square cm)?
  7. 7.A room is 4 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.A cuboid is 7 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  9. 9.A room is 12 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.A trapezium has parallel sides of 30 cm and 14 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  11. 11.A cuboid is 5 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  12. 12.A room is 10 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  13. 13.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  14. 14.The diagonals of a rhombus are 24 cm and 6 cm. What is its area (in square cm)?
  15. 15.A cuboid is 9 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 66 square cm. Its parallel sides are 17 cm and 27 cm. What is the distance between them (in cm)?
  17. 17.A trapezium has parallel sides of 9 cm and 16 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  18. 18.A room is 3 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.A cuboid is 4 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  20. 20.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  21. 21.A trapezium has parallel sides of 28 cm and 12 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  22. 22.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.A cuboid is 12 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  24. 24.A cuboid is 12 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  25. 25.A cuboid is 13 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  26. 26.The diagonals of a rhombus are 22 cm and 9 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 29 cm and 30 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 6 cm and 26 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  30. 30.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  32. 32.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  33. 33.A trapezium has parallel sides of 15 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  34. 34.A room is 11 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.A trapezium has parallel sides of 8 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 29 cm and 7 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  37. 37.A cuboid is 12 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  38. 38.The diagonals of a rhombus are 24 cm and 8 cm. What is its area (in square cm)?
  39. 39.A room is 8 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.A cuboid is 13 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?

Answer key

  1. 120
  2. 28
  3. 17
  4. 10
  5. 600
  6. 105
  7. 66
  8. 298
  9. 120
  10. 418
  11. 280
  12. 190
  13. 10
  14. 72
  15. 294
  16. 3
  17. 150
  18. 78
  19. 52
  20. 5
  21. 100
  22. 130
  23. 504
  24. 416
  25. 498
  26. 99
  27. 3174
  28. 59
  29. 288
  30. 36
  31. 14
  32. 2904
  33. 105
  34. 102
  35. 27
  36. 54
  37. 192
  38. 96
  39. 72
  40. 302

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