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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 113 · 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.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  2. 2.A cuboid is 14 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  3. 3.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.A room is 3 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.A room is 6 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  6. 6.The diagonals of a rhombus are 14 cm and 11 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 13 cm and 21 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has parallel sides of 5 cm and 30 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 123 square cm. Its parallel sides are 28 cm and 13 cm. What is the distance between them (in cm)?
  11. 11.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  12. 12.A room is 3 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  13. 13.A trapezium has parallel sides of 26 cm and 23 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 16 cm and 25 cm. What is its area (in square cm)?
  15. 15.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  16. 16.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  17. 17.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  18. 18.A trapezium has parallel sides of 19 cm and 28 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  19. 19.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  20. 20.A cuboid is 5 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  21. 21.A cuboid is 9 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  22. 22.A cuboid is 5 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  23. 23.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  24. 24.The diagonals of a rhombus are 24 cm and 25 cm. What is its area (in square cm)?
  25. 25.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  26. 26.A room is 3 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  28. 28.A cuboid is 14 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 217 square cm. Its parallel sides are 27 cm and 4 cm. What is the distance between them (in cm)?
  30. 30.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  31. 31.A cuboid is 4 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  32. 32.A cuboid is 3 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 248 square cm. Its parallel sides are 5 cm and 26 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has an area of 306 square cm. Its parallel sides are 10 cm and 26 cm. What is the distance between them (in cm)?
  35. 35.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  36. 36.The diagonals of a rhombus are 6 cm and 30 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 14 cm and 28 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 14 cm and 6 cm. What is its area (in square cm)?
  39. 39.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?

Answer key

  1. 3
  2. 322
  3. 84
  4. 130
  5. 120
  6. 77
  7. 85
  8. 17
  9. 35
  10. 6
  11. 2166
  12. 110
  13. 343
  14. 200
  15. 150
  16. 3174
  17. 5
  18. 282
  19. 2400
  20. 110
  21. 176
  22. 258
  23. 1014
  24. 300
  25. 216
  26. 56
  27. 1536
  28. 448
  29. 14
  30. 18
  31. 208
  32. 122
  33. 16
  34. 17
  35. 10
  36. 90
  37. 196
  38. 42
  39. 130
  40. 15

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