← Back to shiwamsclass.com← Website
← Bihar Board Class 10 PYQ

Surface Areas and Volumes

Bihar Board Class 10 · Mathematics · 50 past questions

  1. Q1 2026
    Area of four walls of a room whose length, breadth and height are $l$, $b$ and $h$ units respectively, is
  2. Q2 2026
    Three cubes having edge 6 cm are joined end to end to form a cuboid. Then its resultant volume is
  3. Q3 2026
    If the surface areas of two spheres are in the ratio of 16 : 9 then the ratio of their volumes is
  4. Q4 2026
    If the total surface area of a cube is 864 sq.cm then its volume is
  5. Q5 2026
    If the areas of three adjacent faces of a cuboid are $x$, $y$ and $z$ respectively then the volume of the…
  6. Q6 2026
    The height of a cylinder is 14 cm and its curved surface area is 264 sq.cm ; then its volume is
  7. Q7 2025
    The ratio of the volumes of two spheres is 64 :125. Then the ratio of their surface areas is
  8. Q8 2025
    The radii of two cylinders are in the ratio 4 : 5 and their heights are in the ratio 6 : 7. Then the ratio of…
  9. Q9 2025
    What is the total surface area of a hemisphere of radius $R$ ?
  10. Q10 2025
    If the curved surface area of a cone is 880 cm$^2$ and its radius is 14 cm, then its slant height is
  11. Q11 2025
    If the length of the diagonal of a cube is $2\sqrt{3}$ cm, then the length of its edge is
  12. Q12 2025
    If the edge of a cube is doubled then the total surface area will become how many times of the previous total…
  13. Q13 2025
    The ratio of the total surface area of a sphere and that of a hemisphere having the same radius is
  14. Q14 2025
    If the curved surface area of a hemisphere is 1232 cm$^2$ then its radius is
  15. Q15 2024
    The length, breadth and height of a cuboid are 15 m, 6 m and 5 m respectively. Then the lateral surface area…
  16. Q16 2024
    How many cubes of side 4 cm can be formed from a cube of side 8 cm ?
  17. Q17 2024
    Three cubes of metal with edges 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. What is…
  18. Q18 2024
    The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of…
  19. Q19 2024
    If the curved surface area of a cylinder is 1760 cm$^2$ and its base radius is 14 cm then its height is
  20. Q20 2024
    The external radius of a pipe of metal is 4 cm and internal radius is 3 cm. If its length is 10 cm then the…
  21. Q21 2024
    If $r$ is the radius of the base of a cone and $l$ is its slant height then the curved surface area of the…
  22. Q22 2024
    The total surface area of a hemisphere of diameter 14 cm is
  23. Q23 2024
    The volume of a cone is 1570 cm$^3$. If the area of its base is 314 cm$^2$ then its height is
  24. Q24 2024
    If $2r$ is the radius of a sphere then its volume is
  25. Q25 2023
    How many solid spheres of radius 1 cm can be made from a solid sphere of radius 8 cm ?
  26. Q26 2023
    The base diameter of a cone is 10 cm and its height is 12 cm. Then the volume of cone is
  27. Q27 2023
    The external radius of a metallic pipe is 4 cm and its internal radius is 3 cm. If its length is 10 cm, then…
  28. Q28 2023
    The areas of bases of a cone and a cylinder are equal and their curved surface areas are also equal. If the…
  29. Q29 2023
    If the volume of a cube is 125 cm$^3$ then the ratio of the side of cube and diagonal of the cube is
  30. Q30 2023
    If the total surface area of a hemisphere is 462 cm$^2$ then its diameter is
  31. Q31 2023
    The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5: 3. Then the ratio of…
  32. Q32 2023
    If the radius of a sphere becomes 3 times then its volume will become
  33. Q33 2022
    If each edge of any cube is $a$ unit then its diagonal will be
  34. Q34 2022
    The volume of a right circular cone whose radius is $R$ and height is $H$, is
  35. Q35 2022
    The volume of a sphere of radius 3 cm is
  36. Q36 2022
    The length, breadth and height of a cuboid is respectively 8 cm, 6 cm and 5 cm, then the length of its…
  37. Q37 2020
    If the length of a cuboid is $l$, width $b$ and height $h$, then the volume of the cuboid is
  38. Q38 2020
    The bases of a cylinder and a cone are same. If their heights are also same, then the ratio of their volumes…
  39. Q39 2020
    The radii of the bases of a cylinder and a cone are in the ratio 3 : 4. If they have their heights in the…
  40. Q40 2020
    A wire of 4 mm diameter is made by pulling a metallic cube whose side is 1 cm. The length of the wire is
  41. Q41 2019
    Radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3, then their volumes…
  42. Q42 2019
    How many cubes can be formed of side 2 cm from a cube of side 6 cm?
  43. Q43 2019
    From a solid cube of edge 14 cm, a sphere of largest volume is cut. Approximate volume of sphere is -
  44. Q44 2019
    The radius and height of a cone are r and h respectively, then its volume is -
  45. Q45 2018
    The ratio of the total surface area to the lateral surface area of a cylinder with base radius 80 cm and…
  46. Q46 2018
    The radii of the base of a cylinder and a cone are in the ratio 3 : 4 and their heights are in the ratio 2…
  47. Q47 2018
    The volume of a cube is 2744 cm³. Its surface area (in cm²) is -
  48. Q48 2018
    How many balls, each of radius 1cm can be made from a solid sphere of lead of radius 8 cm?
  49. Q49 2018
    A hollow sphere of external and internal diameters 8cm and 4cm respectively is melted in to a cone of base…
  50. Q50 2017
    The height of cone is 24 cm, radius of base is 6 cm. Then volume of cone will be-