The volume ratio of the inscribed sphere to the circumscribed sphere of a cube is______ ．

Let the edge length of a cube be a, then the radius of its inscribed sphere is 12a, and the radius of its circumscribed sphere is 32a, so the ratio is 1:3, so the answer is 1:3

RELATED INFORMATIONS

1. Comparison size: - 1.3 and - root 1.7, 8 / 8 root 10-3 and 1 / 8
2. In solid geometry, if the volume of a triangular pyramid with equal edge length is 2 / 3 of its root sign, the surface area of the pyramid is
3. The volume of a regular pyramid is 2 / 3 of the root sign, and the minimum surface area is obtained
4. The surface area of a pyramid with 1 edge length is
5. What is the volume of a regular tetrahedron with a side length of 3 radical 2?
6. Let the length of six edges of a tetrahedron be 1,1,1,1, a, √ 2 respectively, and the edges with length a are different from the edges with length √ 2 around
7. It is known that the base of a triangular pyramid is an equilateral triangle with side length of 1, and the length of the two side edges is 2 / 13, then the length of the third edge is equal
8. The bottom of the Mitsubishi cone is an equilateral triangle with side length a, and the length of the two sides is (root number 13) a / 2. Try to find the value range of the third side length
9. How to set up a rectangular coordinate system for a pyramid whose base side length is 5, root 2, and side edge length is 13?
10. It is known that the three sides of △ ABC are a = 2, radical 5, B = radical 13 and C = radical 61. Try to find the area of △ ABC Associative figure
11. The volume ratio of the inscribed sphere to the circumscribed sphere of a cube is______ ．
12. If the volume of the circumscribed sphere of a cube is 36 π, the surface area of the cube is 0
13. Let the total area of a cube be 24 and find the volume of its circumscribed sphere
14. The surface area of cube with edge length a is equal to___ ; volume equal to___ The radius of its circumscribed ball is___ The volume of its circumscribed sphere is___
15. Let the surface area of a cube be 24. What is the volume of its inscribed sphere
16. If the total area of a cube is 24, then the volume of its circumscribed sphere is______ ．
17. The volume ratio of the inscribed ball to the circumscribed ball of the cube is, pro, to be explained in detail
18. What's the volume ratio between the inscribed ball and the circumscribed ball of a cube? I think the radius of the circumscribed ball is two-thirds root
19. If the vertices of a square whose edge length is 2cm are all on a sphere, then the volume of the sphere is
20. The ratio of the volume of a cylinder to the volume of a sphere is 3:2. Then the ratio of the side area of the cylinder to the surface area of the sphere is () A. 1：1B. 1：2C. 2：3D. 3：2