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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 79 · 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 10 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 4 cm and 9 cm. What is its area (in square cm)?
  3. 3.A cuboid is 6 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  4. 4.A cuboid is 9 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  5. 5.A trapezium has parallel sides of 22 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  6. 6.A cuboid is 5 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  7. 7.A cuboid is 13 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  8. 8.A cuboid is 10 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 5 cm and 28 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 15 cm and 3 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  11. 11.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  12. 12.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  13. 13.The diagonals of a rhombus are 30 cm and 12 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 10 cm and 17 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 6 cm and 10 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  16. 16.A cuboid is 13 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  17. 17.A trapezium has parallel sides of 15 cm and 10 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  18. 18.A cuboid is 7 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 11 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  20. 20.The diagonals of a rhombus are 6 cm and 13 cm. What is its area (in square cm)?
  21. 21.A cuboid is 3 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  22. 22.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has parallel sides of 20 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  24. 24.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.A room is 12 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  26. 26.The diagonals of a rhombus are 12 cm and 22 cm. What is its area (in square cm)?
  27. 27.A room is 6 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.The diagonals of a rhombus are 8 cm and 14 cm. What is its area (in square cm)?
  29. 29.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  30. 30.The diagonals of a rhombus are 24 cm and 17 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
  32. 32.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  33. 33.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  34. 34.A cuboid is 11 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  35. 35.The diagonals of a rhombus are 12 cm and 12 cm. What is its area (in square cm)?
  36. 36.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 22 cm and 30 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
  40. 40.A trapezium has an area of 85 square cm. Its parallel sides are 4 cm and 6 cm. What is the distance between them (in cm)?

Answer key

  1. 190
  2. 18
  3. 240
  4. 342
  5. 196
  6. 150
  7. 232
  8. 378
  9. 66
  10. 99
  11. 190
  12. 16
  13. 180
  14. 243
  15. 64
  16. 622
  17. 150
  18. 378
  19. 144
  20. 39
  21. 42
  22. 96
  23. 82
  24. 126
  25. 114
  26. 132
  27. 66
  28. 56
  29. 5
  30. 204
  31. 70
  32. 600
  33. 726
  34. 632
  35. 72
  36. 150
  37. 520
  38. 294
  39. 21
  40. 17

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