A tetrahedron inscribed in a cube in which alternate corners of the cube are also corners of the tetrahedron.
a) True
b) False

A tetrahedron has 4 vertices, and a cube has 8 vertices. If alternate corners of the cube (every other vertex) were also corners of the tetrahedron, then you would have 4 vertices shared between the tetrahedron and the cube. This would imply that the tetrahedron has at least 4 vertices, but since it only has 4 vertices in total, it would mean that the tetrahedron occupies all the corners of the cube, which is not possible.

So, the correct answer is:

b) False

A tetrahedron inscribed in a cube in which alternate corners of the cube are also corners of the tetrahedron. a) True b) False

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A tetrahedron inscribed in a cube in which alternate corners of the cube are also corners of the tetrahedron.
a) True
b) False