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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 138 · 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.A room is 12 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.The diagonals of a rhombus are 24 cm and 23 cm. What is its area (in square cm)?
  3. 3.A trapezium has an area of 156 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
  4. 4.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  5. 5.The diagonals of a rhombus are 14 cm and 14 cm. What is its area (in square cm)?
  6. 6.A cuboid is 4 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  7. 7.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  8. 8.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has an area of 51 square cm. Its parallel sides are 8 cm and 26 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has an area of 162 square cm. Its parallel sides are 16 cm and 2 cm. What is the distance between them (in cm)?
  11. 11.A trapezium has an area of 66 square cm. Its parallel sides are 8 cm and 3 cm. What is the distance between them (in cm)?
  12. 12.A cuboid is 6 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  13. 13.The diagonals of a rhombus are 30 cm and 26 cm. What is its area (in square cm)?
  14. 14.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  15. 15.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has parallel sides of 26 cm and 21 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 70 square cm. Its parallel sides are 22 cm and 13 cm. What is the distance between them (in cm)?
  18. 18.The diagonals of a rhombus are 26 cm and 25 cm. What is its area (in square cm)?
  19. 19.A room is 4 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.A cuboid is 12 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 28 cm and 5 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  22. 22.A cuboid is 7 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  23. 23.The diagonals of a rhombus are 20 cm and 5 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 119 square cm. Its parallel sides are 5 cm and 29 cm. What is the distance between them (in cm)?
  25. 25.A trapezium has an area of 195 square cm. Its parallel sides are 25 cm and 14 cm. What is the distance between them (in cm)?
  26. 26.A cuboid is 15 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  27. 27.The diagonals of a rhombus are 6 cm and 4 cm. What is its area (in square cm)?
  28. 28.The diagonals of a rhombus are 30 cm and 12 cm. What is its area (in square cm)?
  29. 29.A cuboid is 9 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  30. 30.A room is 3 m long, 7 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 150 square cm. How long is each edge (in cm)?
  32. 32.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 156 square cm. Its parallel sides are 12 cm and 14 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has parallel sides of 17 cm and 10 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 6 cm and 14 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 99 square cm. Its parallel sides are 27 cm and 6 cm. What is the distance between them (in cm)?
  37. 37.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  38. 38.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 24 cm and 30 cm. What is its area (in square cm)?
  40. 40.A trapezium has parallel sides of 21 cm and 12 cm, and the distance between them is 18 cm. What is its area (in square cm)?

Answer key

  1. 96
  2. 276
  3. 13
  4. 2904
  5. 98
  6. 88
  7. 19
  8. 1176
  9. 3
  10. 18
  11. 12
  12. 258
  13. 390
  14. 3
  15. 17
  16. 141
  17. 4
  18. 325
  19. 66
  20. 256
  21. 231
  22. 382
  23. 50
  24. 7
  25. 10
  26. 198
  27. 12
  28. 180
  29. 222
  30. 60
  31. 5
  32. 726
  33. 12
  34. 108
  35. 60
  36. 6
  37. 160
  38. 216
  39. 360
  40. 297

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