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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 46 · 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 22 cm. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 24 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  3. 3.A trapezium has parallel sides of 27 cm and 12 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  4. 4.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  6. 6.A trapezium has an area of 240 square cm. Its parallel sides are 19 cm and 21 cm. What is the distance between them (in cm)?
  7. 7.A cuboid is 7 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
  8. 8.The diagonals of a rhombus are 24 cm and 3 cm. What is its area (in square cm)?
  9. 9.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  10. 10.A trapezium has parallel sides of 15 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  11. 11.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  12. 12.A cuboid is 8 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 19 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  14. 14.A cuboid is 3 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 165 square cm. Its parallel sides are 27 cm and 3 cm. What is the distance between them (in cm)?
  16. 16.A room is 9 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  18. 18.A cuboid is 5 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  19. 19.A cuboid is 10 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  20. 20.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  21. 21.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 29 cm and 22 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  24. 24.A cuboid is 7 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  25. 25.A room is 9 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has an area of 432 square cm. Its parallel sides are 28 cm and 20 cm. What is the distance between them (in cm)?
  27. 27.A cuboid is 9 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has an area of 180 square cm. Its parallel sides are 6 cm and 12 cm. What is the distance between them (in cm)?
  29. 29.A cuboid is 7 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
  30. 30.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has parallel sides of 13 cm and 7 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  33. 33.The diagonals of a rhombus are 24 cm and 14 cm. What is its area (in square cm)?
  34. 34.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.A cuboid is 4 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 135 square cm. Its parallel sides are 27 cm and 18 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has an area of 160 square cm. Its parallel sides are 26 cm and 6 cm. What is the distance between them (in cm)?
  38. 38.A trapezium has an area of 224 square cm. Its parallel sides are 22 cm and 6 cm. What is the distance between them (in cm)?
  39. 39.A trapezium has parallel sides of 9 cm and 3 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  40. 40.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 2904
  2. 40
  3. 351
  4. 102
  5. 3
  6. 12
  7. 262
  8. 36
  9. 4
  10. 31
  11. 3750
  12. 348
  13. 66
  14. 54
  15. 11
  16. 136
  17. 1536
  18. 236
  19. 372
  20. 864
  21. 102
  22. 9
  23. 255
  24. 240
  25. 128
  26. 18
  27. 150
  28. 20
  29. 442
  30. 48
  31. 72
  32. 180
  33. 168
  34. 72
  35. 88
  36. 6
  37. 10
  38. 16
  39. 18
  40. 128

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