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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 19 · 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 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  3. 3.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  4. 4.A cuboid is 3 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  5. 5.The diagonals of a rhombus are 24 cm and 21 cm. What is its area (in square cm)?
  6. 6.The diagonals of a rhombus are 10 cm and 17 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 22 cm and 26 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 30 cm and 8 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 20 cm and 24 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 306 square cm. Its parallel sides are 25 cm and 11 cm. What is the distance between them (in cm)?
  11. 11.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  12. 12.A cuboid is 8 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  13. 13.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has parallel sides of 11 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  15. 15.The diagonals of a rhombus are 20 cm and 11 cm. What is its area (in square cm)?
  16. 16.A trapezium has an area of 328 square cm. Its parallel sides are 29 cm and 12 cm. What is the distance between them (in cm)?
  17. 17.The diagonals of a rhombus are 24 cm and 23 cm. What is its area (in square cm)?
  18. 18.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 11 cm and 27 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  21. 21.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.A room is 6 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  23. 23.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 29 cm and 30 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  25. 25.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  26. 26.The diagonals of a rhombus are 6 cm and 9 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  28. 28.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  29. 29.A trapezium has an area of 66 square cm. Its parallel sides are 7 cm and 26 cm. What is the distance between them (in cm)?
  30. 30.The diagonals of a rhombus are 26 cm and 6 cm. What is its area (in square cm)?
  31. 31.A room is 6 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has parallel sides of 24 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  33. 33.A trapezium has an area of 275 square cm. Its parallel sides are 30 cm and 20 cm. What is the distance between them (in cm)?
  34. 34.The diagonals of a rhombus are 20 cm and 17 cm. What is its area (in square cm)?
  35. 35.A cuboid is 9 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  36. 36.The diagonals of a rhombus are 30 cm and 21 cm. What is its area (in square cm)?
  37. 37.A cuboid is 9 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 28 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 26 cm and 13 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  40. 40.The diagonals of a rhombus are 4 cm and 27 cm. What is its area (in square cm)?

Answer key

  1. 128
  2. 13
  3. 100
  4. 164
  5. 252
  6. 85
  7. 456
  8. 120
  9. 240
  10. 17
  11. 35
  12. 212
  13. 150
  14. 54
  15. 110
  16. 16
  17. 276
  18. 112
  19. 1944
  20. 76
  21. 36
  22. 96
  23. 60
  24. 59
  25. 726
  26. 27
  27. 486
  28. 9
  29. 4
  30. 78
  31. 120
  32. 141
  33. 11
  34. 170
  35. 174
  36. 315
  37. 558
  38. 42
  39. 273
  40. 54

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