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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 60 · 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 cuboid is 11 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  2. 2.A cuboid is 12 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  3. 3.The diagonals of a rhombus are 12 cm and 28 cm. What is its area (in square cm)?
  4. 4.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  5. 5.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  6. 6.A cuboid is 9 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has an area of 96 square cm. Its parallel sides are 7 cm and 5 cm. What is the distance between them (in cm)?
  8. 8.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  9. 9.A room is 11 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.The diagonals of a rhombus are 16 cm and 8 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  12. 12.A cuboid is 12 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  13. 13.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has an area of 36 square cm. Its parallel sides are 7 cm and 17 cm. What is the distance between them (in cm)?
  15. 15.A trapezium has parallel sides of 10 cm and 20 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  16. 16.The diagonals of a rhombus are 12 cm and 8 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.A trapezium has parallel sides of 8 cm and 30 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  19. 19.A room is 10 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.A trapezium has parallel sides of 10 cm and 11 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 19 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
  24. 24.The diagonals of a rhombus are 12 cm and 11 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  26. 26.The diagonals of a rhombus are 28 cm and 22 cm. What is its area (in square cm)?
  27. 27.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.A trapezium has parallel sides of 16 cm and 30 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 29 cm and 22 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  30. 30.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.A trapezium has parallel sides of 8 cm and 4 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 12 cm and 13 cm. What is its area (in square cm)?
  33. 33.A trapezium has an area of 261 square cm. Its parallel sides are 4 cm and 25 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has parallel sides of 24 cm and 13 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  35. 35.A room is 3 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has an area of 370 square cm. Its parallel sides are 26 cm and 11 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has parallel sides of 13 cm and 4 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  38. 38.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  39. 39.A trapezium has an area of 87 square cm. Its parallel sides are 26 cm and 3 cm. What is the distance between them (in cm)?
  40. 40.A cuboid is 12 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?

Answer key

  1. 174
  2. 288
  3. 168
  4. 11
  5. 294
  6. 636
  7. 16
  8. 3
  9. 96
  10. 64
  11. 19
  12. 434
  13. 72
  14. 3
  15. 135
  16. 48
  17. 7
  18. 38
  19. 90
  20. 42
  21. 210
  22. 184
  23. 60
  24. 66
  25. 20
  26. 308
  27. 160
  28. 322
  29. 357
  30. 96
  31. 12
  32. 78
  33. 18
  34. 185
  35. 104
  36. 20
  37. 68
  38. 16
  39. 6
  40. 300

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