It is a cube or a cuboid that has 6 faces, 8 vertices and 12 edges
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Cube
The solid figure having eight vertices is the hexahedron. A cube, which has six faces (classifying it as a hexahedron) as well as the eight vertices, is a regular hexahedron. It is doubtless the best example of this category of geometric shapes. A link can be found below for more information, and some drawings to really help lock in the idea.
Yes.
Four faces, six edges and four vertices.
Pentagonal pyramids have six faces, ten edges, and six vertices. One of the faces is a pentagonal base, the rest are triangular.