What is the volume of a regular tetrahedron with a side length of 3 radical 2?
3 root 2 * 3 root 2 * 3 root 2 = 54 root 2
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- 1. 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
- 2. 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
- 3. 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
- 4. 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?
- 5. 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
- 6. It is known that △ ABC ∽ def, the lengths of three sides of △ ABC are radical 2, radical 14, 2, and the lengths of two sides of △ def are 1 and radical 7 respectively, so the third side of △ def can be obtained To solve the process
- 7. In tetrahedral PABC, PA, Pb and PC are perpendicular. It is proved that △ ABC is an acute triangle In tetrahedral PABC, PA, Pb and PC are perpendicular. It is proved that ① △ ABC is an acute triangle. ② the square of s △ ABC = the square of s △ PBC + the square of s △ PAB + the square of s △ PCA
- 8. P is a point in the equilateral triangle ABC. If the distance from P to three sides is equal, then PA = Pb = PC Please prove this proposition,
- 9. In the isosceles triangle ABC, ab = AC = 6, P is a point on BC, and PA = 4, then what is the value of Pb × PC?
- 10. If we know three vertices a, B, C of ⊿ ABC and a point P in the plane, satisfying PA + Pb + PC = 0, then point P is () A. Center of gravity
- 11. The surface area of a pyramid with 1 edge length is
- 12. The volume of a regular pyramid is 2 / 3 of the root sign, and the minimum surface area is obtained
- 13. 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
- 14. Comparison size: - 1.3 and - root 1.7, 8 / 8 root 10-3 and 1 / 8
- 15. The volume ratio of the inscribed sphere to the circumscribed sphere of a cube is______ .
- 16. The volume ratio of the inscribed sphere to the circumscribed sphere of a cube is______ .
- 17. If the volume of the circumscribed sphere of a cube is 36 π, the surface area of the cube is 0
- 18. Let the total area of a cube be 24 and find the volume of its circumscribed sphere
- 19. 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___
- 20. Let the surface area of a cube be 24. What is the volume of its inscribed sphere