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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 131 · 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 8 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  2. 2.A cuboid is 14 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 282 square cm. Its parallel sides are 29 cm and 18 cm. What is the distance between them (in cm)?
  4. 4.A cuboid is 11 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  5. 5.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  6. 6.A trapezium has parallel sides of 4 cm and 7 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 30 cm and 24 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 3 cm. 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 cuboid is 5 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  11. 11.A cuboid is 10 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 26 cm and 13 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  13. 13.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  14. 14.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  15. 15.A cuboid is 3 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  16. 16.A room is 8 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  18. 18.A trapezium has an area of 330 square cm. Its parallel sides are 28 cm and 27 cm. What is the distance between them (in cm)?
  19. 19.The diagonals of a rhombus are 16 cm and 12 cm. What is its area (in square cm)?
  20. 20.A room is 8 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.A cuboid is 11 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  22. 22.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  23. 23.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  25. 25.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  27. 27.A trapezium has an area of 66 square cm. Its parallel sides are 10 cm and 2 cm. What is the distance between them (in cm)?
  28. 28.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  29. 29.A cuboid is 13 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 25 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  31. 31.A trapezium has parallel sides of 10 cm and 25 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  32. 32.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  33. 33.A cuboid is 4 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  34. 34.A cuboid is 15 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  35. 35.A cuboid is 15 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 90 square cm. Its parallel sides are 25 cm and 11 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has parallel sides of 13 cm and 27 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  38. 38.A cuboid is 7 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  39. 39.A trapezium has an area of 60 square cm. Its parallel sides are 6 cm and 4 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has parallel sides of 10 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?

Answer key

  1. 232
  2. 248
  3. 12
  4. 298
  5. 9
  6. 55
  7. 360
  8. 54
  9. 120
  10. 184
  11. 344
  12. 351
  13. 3750
  14. 24
  15. 162
  16. 84
  17. 8
  18. 12
  19. 96
  20. 72
  21. 252
  22. 17
  23. 2400
  24. 5
  25. 143
  26. 7
  27. 11
  28. 4
  29. 502
  30. 78
  31. 280
  32. 11
  33. 232
  34. 348
  35. 470
  36. 5
  37. 380
  38. 190
  39. 12
  40. 34

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