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Q: Can a cube have a cross section of a pentagon?

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Along any edge

It depends on the angle of the plane of the cross section. If it is parallel to the cube's face (or equivalently, two adjacent edges) the cross section will be a square congruent to the face. If the plane is parallel to just one edge (and so angled to a face), the cross section will be a rectangle which will have a constant width. Its length will increase, remain at a maximum level and then decrease. If neither, it will be a hexagon-triangle-hexagon-triangle-hexagon (triangles when passing through a vertex).

the type of shape is a square A Square, An Equalateral Triangle, A Cube, A Hexagon, A Pentagon, A DoDecaHedron, An Octogon, A Decagon. A Square, An Equalateral Triangle, A Cube, A Hexagon, A Pentagon, A DoDecaHedron, An Octogon, A Decagon. A Square, An Equalateral Triangle, A Cube, A Hexagon, A Pentagon, A DoDecaHedron, An Octogon, A Decagon.

The cross-section of a cuboid is unified in the shape of a square or a rectangle.

length = volume/cross-section

Related questions

No, a cube cannot have an octagonal cross-section.

Cross section of a Cube90 Degree Vertical & Horizontal cross sections of a Cube are square. Brahmajyothi

It is a square.

A square

A square.

Infinitely many.

Yes it can.

Rectangle

It will be the same shape as a square

The answer depends on the inclination of the intersecting plane. The cross section can be a point, a triangle, a rectangle, a pentagon or a hexagon.

If it is lying along its length, and he cross section is, for example, a regular pentagon, then it will have no vertical lines.

It is a prism with a pentagonal cross-section

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