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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 209 · 40 sums
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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.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 20 cm and 10 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has parallel sides of 5 cm and 12 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  5. 5.A room is 4 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  6. 6.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 8 cm and 2 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  9. 9.The diagonals of a rhombus are 12 cm and 11 cm. What is its area (in square cm)?
  10. 10.A room is 6 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.A cuboid is 13 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  12. 12.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  14. 14.The diagonals of a rhombus are 4 cm and 4 cm. What is its area (in square cm)?
  15. 15.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.The diagonals of a rhombus are 20 cm and 11 cm. What is its area (in square cm)?
  17. 17.A room is 5 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  19. 19.A cuboid is 5 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 22 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 10 cm and 5 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  23. 23.A room is 7 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  24. 24.A trapezium has an area of 35 square cm. Its parallel sides are 9 cm and 26 cm. What is the distance between them (in cm)?
  25. 25.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  26. 26.A trapezium has parallel sides of 12 cm and 10 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  27. 27.The diagonals of a rhombus are 18 cm and 27 cm. What is its area (in square cm)?
  28. 28.A cuboid is 7 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  29. 29.The diagonals of a rhombus are 18 cm and 4 cm. What is its area (in square cm)?
  30. 30.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  31. 31.A room is 8 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.The diagonals of a rhombus are 22 cm and 11 cm. What is its area (in square cm)?
  33. 33.A cuboid is 8 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  35. 35.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  36. 36.A trapezium has an area of 126 square cm. Its parallel sides are 14 cm and 7 cm. What is the distance between them (in cm)?
  37. 37.A cuboid is 12 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  38. 38.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  39. 39.A cuboid is 11 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  40. 40.A trapezium has parallel sides of 26 cm and 16 cm, and the distance between them is 13 cm. What is its area (in square cm)?

Answer key

  1. 1734
  2. 100
  3. 5
  4. 17
  5. 100
  6. 7
  7. 75
  8. 3
  9. 66
  10. 90
  11. 302
  12. 90
  13. 1944
  14. 8
  15. 90
  16. 110
  17. 112
  18. 8
  19. 160
  20. 243
  21. 55
  22. 105
  23. 120
  24. 2
  25. 13
  26. 209
  27. 243
  28. 344
  29. 36
  30. 96
  31. 72
  32. 121
  33. 252
  34. 2
  35. 18
  36. 12
  37. 448
  38. 17
  39. 226
  40. 273

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