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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 139 · 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.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  2. 2.A cuboid is 9 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  3. 3.The diagonals of a rhombus are 24 cm and 30 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 15 cm and 4 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  5. 5.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  6. 6.A cuboid is 11 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 19 cm and 12 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  9. 9.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  10. 10.A cuboid is 6 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  11. 11.A trapezium has an area of 238 square cm. Its parallel sides are 13 cm and 21 cm. What is the distance between them (in cm)?
  12. 12.A trapezium has an area of 266 square cm. Its parallel sides are 22 cm and 16 cm. What is the distance between them (in cm)?
  13. 13.A trapezium has an area of 124 square cm. Its parallel sides are 4 cm and 27 cm. What is the distance between them (in cm)?
  14. 14.A trapezium has parallel sides of 27 cm and 5 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 17 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  16. 16.The diagonals of a rhombus are 20 cm and 29 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 6 cm and 11 cm. What is its area (in square cm)?
  18. 18.A trapezium has an area of 76 square cm. Its parallel sides are 10 cm and 9 cm. What is the distance between them (in cm)?
  19. 19.A room is 8 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.A cuboid is 6 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has parallel sides of 23 cm and 10 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 25 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 266 square cm. Its parallel sides are 25 cm and 13 cm. What is the distance between them (in cm)?
  25. 25.The diagonals of a rhombus are 4 cm and 15 cm. What is its area (in square cm)?
  26. 26.A cuboid is 11 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 33 square cm. Its parallel sides are 7 cm and 26 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has parallel sides of 12 cm and 6 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  29. 29.A room is 11 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  31. 31.A room is 6 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.A room is 8 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  33. 33.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  34. 34.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  36. 36.A cuboid is 10 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  37. 37.A room is 4 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.The diagonals of a rhombus are 14 cm and 15 cm. What is its area (in square cm)?
  39. 39.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has parallel sides of 7 cm and 12 cm, and the distance between them is 10 cm. What is its area (in square cm)?

Answer key

  1. 2400
  2. 176
  3. 360
  4. 114
  5. 64
  6. 556
  7. 62
  8. 13
  9. 128
  10. 348
  11. 14
  12. 14
  13. 8
  14. 192
  15. 69
  16. 290
  17. 33
  18. 8
  19. 104
  20. 110
  21. 408
  22. 33
  23. 119
  24. 14
  25. 30
  26. 366
  27. 2
  28. 63
  29. 128
  30. 11
  31. 84
  32. 96
  33. 3
  34. 140
  35. 1536
  36. 344
  37. 120
  38. 105
  39. 84
  40. 95

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