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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 125 · 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 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  3. 3.A trapezium has parallel sides of 27 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 13 cm and 9 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  6. 6.A room is 6 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  8. 8.The diagonals of a rhombus are 12 cm and 9 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 261 square cm. Its parallel sides are 10 cm and 19 cm. What is the distance between them (in cm)?
  10. 10.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  11. 11.A room is 11 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  12. 12.The diagonals of a rhombus are 10 cm and 29 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 18 cm and 28 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 18 cm and 23 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 14 cm and 18 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  17. 17.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  18. 18.A room is 9 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  20. 20.The diagonals of a rhombus are 16 cm and 29 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 10 cm and 4 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  22. 22.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  23. 23.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.A trapezium has parallel sides of 4 cm and 21 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  25. 25.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
  26. 26.A cuboid is 7 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  27. 27.The diagonals of a rhombus are 14 cm and 18 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 18 cm and 9 cm, and the distance between them is 2 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.A room is 7 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.A trapezium has parallel sides of 5 cm and 15 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  32. 32.A trapezium has an area of 232 square cm. Its parallel sides are 26 cm and 3 cm. What is the distance between them (in cm)?
  33. 33.The diagonals of a rhombus are 4 cm and 23 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 19 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 5 cm and 3 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 111 square cm. Its parallel sides are 27 cm and 10 cm. What is the distance between them (in cm)?
  37. 37.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  38. 38.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  39. 39.A cuboid is 14 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
  40. 40.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 78
  2. 12
  3. 225
  4. 198
  5. 3750
  6. 66
  7. 9
  8. 54
  9. 18
  10. 15
  11. 160
  12. 145
  13. 252
  14. 82
  15. 48
  16. 17
  17. 294
  18. 120
  19. 4
  20. 232
  21. 63
  22. 104
  23. 72
  24. 175
  25. 55
  26. 82
  27. 126
  28. 27
  29. 5
  30. 140
  31. 110
  32. 16
  33. 46
  34. 35
  35. 76
  36. 6
  37. 96
  38. 88
  39. 444
  40. 64

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