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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 296 · 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 room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.A cuboid is 11 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  3. 3.A room is 10 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A trapezium has an area of 165 square cm. Its parallel sides are 25 cm and 8 cm. What is the distance between them (in cm)?
  5. 5.A cuboid is 3 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 26 cm and 30 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 4 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 22 cm and 11 cm. What is its area (in square cm)?
  9. 9.A trapezium has parallel sides of 4 cm and 17 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  11. 11.A cuboid is 14 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 9 cm and 4 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  13. 13.A cuboid is 5 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
  14. 14.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  15. 15.The diagonals of a rhombus are 12 cm and 11 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  17. 17.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  18. 18.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  19. 19.A cuboid is 12 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 11 cm and 16 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  22. 22.A cuboid is 3 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
  23. 23.A cuboid is 14 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  24. 24.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  26. 26.A cuboid is 15 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 11 cm and 23 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  28. 28.A cuboid is 13 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  29. 29.A cuboid is 9 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  30. 30.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  31. 31.A cuboid is 6 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  32. 32.A room is 5 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.A trapezium has parallel sides of 16 cm and 5 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  34. 34.A cuboid is 14 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has an area of 110 square cm. Its parallel sides are 13 cm and 9 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has parallel sides of 8 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 10 cm and 14 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  39. 39.A cuboid is 10 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  40. 40.A cuboid is 15 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?

Answer key

  1. 150
  2. 518
  3. 90
  4. 10
  5. 150
  6. 280
  7. 14
  8. 121
  9. 84
  10. 24
  11. 574
  12. 26
  13. 370
  14. 18
  15. 66
  16. 3
  17. 9
  18. 486
  19. 192
  20. 189
  21. 8
  22. 222
  23. 368
  24. 130
  25. 4
  26. 310
  27. 119
  28. 346
  29. 228
  30. 20
  31. 236
  32. 112
  33. 168
  34. 292
  35. 10
  36. 152
  37. 143
  38. 192
  39. 242
  40. 264

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