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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 165 · 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 12 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  4. 4.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has an area of 92 square cm. Its parallel sides are 17 cm and 6 cm. What is the distance between them (in cm)?
  6. 6.A cuboid is 5 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  7. 7.A cuboid is 11 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  8. 8.The diagonals of a rhombus are 30 cm and 7 cm. What is its area (in square cm)?
  9. 9.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 10 cm and 9 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 9 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  12. 12.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  13. 13.A room is 8 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has an area of 62 square cm. Its parallel sides are 28 cm and 3 cm. What is the distance between them (in cm)?
  15. 15.A room is 4 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 parallel sides of 22 cm and 5 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  17. 17.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 144 square cm. Its parallel sides are 14 cm and 4 cm. What is the distance between them (in cm)?
  19. 19.A room is 6 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has parallel sides of 9 cm and 5 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  21. 21.A cuboid is 14 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  22. 22.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  23. 23.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  24. 24.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  26. 26.A trapezium has an area of 255 square cm. Its parallel sides are 11 cm and 19 cm. What is the distance between them (in cm)?
  27. 27.The diagonals of a rhombus are 4 cm and 10 cm. What is its area (in square cm)?
  28. 28.A cuboid is 5 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  30. 30.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  31. 31.A cuboid is 7 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 17 cm and 4 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  33. 33.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  34. 34.A cuboid is 10 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 17 cm and 28 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  37. 37.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  38. 38.The diagonals of a rhombus are 26 cm and 5 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 52 square cm. Its parallel sides are 25 cm and 27 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has parallel sides of 11 cm and 30 cm, and the distance between them is 2 cm. What is its area (in square cm)?

Answer key

  1. 152
  2. 104
  3. 864
  4. 150
  5. 8
  6. 230
  7. 234
  8. 105
  9. 1734
  10. 45
  11. 135
  12. 112
  13. 150
  14. 4
  15. 112
  16. 216
  17. 1014
  18. 16
  19. 88
  20. 49
  21. 322
  22. 9
  23. 10
  24. 80
  25. 18
  26. 17
  27. 20
  28. 214
  29. 600
  30. 1536
  31. 154
  32. 42
  33. 1944
  34. 370
  35. 405
  36. 4
  37. 17
  38. 65
  39. 2
  40. 41

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