If a polyhedron has 6 vertices and 12 edges, its number of faces is () a.6 B.7 c.8 d.9

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• 1. If the number of faces and edges of a polyhedron is 5 and 8, then the number of vertices is 1_____ .
• 2. Read the following materials: in 1750, Euler listed some properties of polyhedron in his letter to Goldbach, one of which is: if V, e and F are used to represent the vertex number, edge number and face number of convex polyhedron, then V-E + F = 2. This discovery is the famous Euler theorem. According to the materials read, we complete: if the face number of a polyhedron is 12 and the edge number is 30, then the vertex number of a polyhedron is 12 The number of points is______ ．
• 3. If the number of faces of a polyhedron is 8 larger than the number of vertices, and it has 30 edges, then the number of vertices of the polyhedron is
• 4. A polyhedron has 12 faces and 30 edges. How many vertices are there?
• 5. A math problem in junior high school: if each face of a polyhedron is a Pentagon and each vertex has three edges at one end, then the polyhedron has () edges, There are () faces. For mathematical experts to solve, idle people get out of the way, thank you!
• 6. Euler, a great mathematician, discovered and proved the formula about the relationship between the vertex (V), the number of edges (E) and the number of faces (f) of a polyhedron______ ．
• 7. If a polyhedron has 12 edges and 6 vertices, then it is a polyhedron______ The surface of the body
• 8. If a polyhedron has 12 edges and 6 vertices, then it is a polyhedron______ The surface of the body
• 9. A polyhedron with 12 vertices and 20 faces. How many edges is this polyhedron As above
• 10. Is there a polyhedron with 10 faces, 30 edges and 20 vertices? (hint: complete according to Euler formula.)
• 11. What is the surface area of the inscribed sphere of a cube with two edges
• 12. What is the surface area of the inscribed sphere of a cube with side length 2
• 13. A cube with edge length a is inscribed with a sphere whose surface area is
• 14. What is the surface area of the circumscribed sphere of a cube with four edges? 12 π or 24 π, and 32 π, 48 π It's that one
• 15. There are three spheres. One is tangent to each side of the cube, one is tangent to each edge of the cube, and one is too far away from each vertex of the cube
• 16. If there is a ball in a cube whose edge length is 1 and it is tangent to all 12 edges of the cube, the volume of the ball is () Thank you
• 17. The edge length ratio of the two cubes is 3:2. What is the surface area ratio of the two cubes? The volume ratio of the two squares is ()
• 18. The edge length of a cube is 10 cm, and the sum of the edge length of the square is (), the surface area is (), and the volume is
• 19. The edge length ratio of the two cubes is 4:5, and the surface area ratio of the two cubes is 0______ And the volume ratio is______ ．
• 20. The edge length of a square is reduced by 20%, the surface area and volume of the cube are reduced by ()%