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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 233 · 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 1734 square cm. How long is each edge (in cm)?
  2. 2.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  3. 3.The diagonals of a rhombus are 16 cm and 12 cm. What is its area (in square cm)?
  4. 4.A room is 10 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.The diagonals of a rhombus are 12 cm and 6 cm. What is its area (in square cm)?
  6. 6.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  7. 7.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  8. 8.The diagonals of a rhombus are 20 cm and 8 cm. What is its area (in square cm)?
  9. 9.A cuboid is 9 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 4 cm and 11 cm. What is its area (in square cm)?
  11. 11.A cuboid is 3 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  12. 12.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has parallel sides of 21 cm and 14 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  14. 14.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.The diagonals of a rhombus are 14 cm and 7 cm. What is its area (in square cm)?
  16. 16.A trapezium has an area of 78 square cm. Its parallel sides are 6 cm and 7 cm. What is the distance between them (in cm)?
  17. 17.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  18. 18.The diagonals of a rhombus are 24 cm and 17 cm. What is its area (in square cm)?
  19. 19.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has parallel sides of 13 cm and 21 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 28 cm and 27 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 19 cm and 7 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  23. 23.A cuboid is 8 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  24. 24.A cuboid is 11 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has parallel sides of 8 cm and 25 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  26. 26.A cuboid is 15 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 5 cm and 7 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  28. 28.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  29. 29.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  30. 30.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  32. 32.A cuboid is 6 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  33. 33.A room is 8 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.A cuboid is 14 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  35. 35.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  36. 36.A cuboid is 3 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 26 cm and 10 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  38. 38.A trapezium has an area of 34 square cm. Its parallel sides are 8 cm and 26 cm. What is the distance between them (in cm)?
  39. 39.The diagonals of a rhombus are 6 cm and 20 cm. What is its area (in square cm)?
  40. 40.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?

Answer key

  1. 17
  2. 14
  3. 96
  4. 136
  5. 36
  6. 6
  7. 486
  8. 80
  9. 198
  10. 22
  11. 282
  12. 5
  13. 350
  14. 42
  15. 49
  16. 12
  17. 3
  18. 204
  19. 90
  20. 340
  21. 275
  22. 65
  23. 312
  24. 442
  25. 66
  26. 310
  27. 96
  28. 88
  29. 2904
  30. 78
  31. 16
  32. 320
  33. 112
  34. 424
  35. 72
  36. 114
  37. 54
  38. 2
  39. 60
  40. 143

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