You can call it a hexahedron. A hexahedron is any polyhedron with 6 faces. A special kind of hexahedron having 6 faces made of congruent squares is called a cube.
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There are 3 lines of symmetry ina 6-sided shape.
A 60 sided shape is called a hexaconta. The hex prefix means 6 and the conta suffix is used for polygons with 20 to 100 sides.
An octagon is an 8 sided 2 dimensional shape. A cylinder with the base of a hexagon (6 sided shape) would be an 8 sided 3 dimensional shape.
In 2 dimensions, a regular 5 sided figure is a pentagon. In 3 dimensions, there is no regular sided 5 sided figure. The tetrahedron is a regular 4 sided figure and a cube is a regular 6 sided figure.
As long as the shape is enclosed, any shape of any number of sides is a polygon. The name for a six-sided polygon is a hexagon.