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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 151 · 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.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  2. 2.A cuboid is 7 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  3. 3.A cuboid is 8 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  6. 6.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.A trapezium has parallel sides of 29 cm and 2 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.A room is 8 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  9. 9.A cuboid is 6 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 26 cm and 16 cm. What is its area (in square cm)?
  11. 11.A trapezium has an area of 90 square cm. Its parallel sides are 24 cm and 21 cm. What is the distance between them (in cm)?
  12. 12.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  13. 13.A trapezium has parallel sides of 21 cm and 29 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  14. 14.A cuboid is 14 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  15. 15.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  16. 16.A trapezium has an area of 450 square cm. Its parallel sides are 28 cm and 22 cm. What is the distance between them (in cm)?
  17. 17.A cuboid is 9 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has parallel sides of 22 cm and 21 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  19. 19.A cuboid is 13 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  20. 20.A cuboid is 14 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  21. 21.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  22. 22.A cuboid is 6 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  23. 23.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  24. 24.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  25. 25.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  26. 26.A room is 11 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.The diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
  28. 28.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.A trapezium has an area of 195 square cm. Its parallel sides are 14 cm and 16 cm. What is the distance between them (in cm)?
  30. 30.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 16 cm and 10 cm. What is its area (in square cm)?
  32. 32.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  33. 33.A cuboid is 9 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 18 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  35. 35.A room is 8 m long, 8 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 34 square cm. Its parallel sides are 26 cm and 8 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has parallel sides of 25 cm and 19 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  38. 38.A room is 6 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  39. 39.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  40. 40.A cuboid is 7 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?

Answer key

  1. 2
  2. 232
  3. 172
  4. 70
  5. 864
  6. 120
  7. 62
  8. 170
  9. 240
  10. 208
  11. 4
  12. 104
  13. 450
  14. 248
  15. 128
  16. 18
  17. 190
  18. 258
  19. 460
  20. 528
  21. 18
  22. 348
  23. 96
  24. 54
  25. 8
  26. 168
  27. 207
  28. 90
  29. 13
  30. 384
  31. 80
  32. 4
  33. 176
  34. 81
  35. 128
  36. 2
  37. 418
  38. 90
  39. 24
  40. 286

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