A plane intersects a prism to form a cross section that is a polygon with 5 sides. What is the minimum number of sides that the polygon at the base of the prism must have?

Respuesta :

MJM98
the minimum number of sides that a polygon must have is 3

The minimum number of sides that the polygon at the base of the prism must have is 4.

What is a Polygon?

"It is the plane figure in geometry that has three or more sides and angles in a finite straight line."

For given question,

The plane intersects a prism to form a cross section that is a polygon with 5 sides.

This means, the original shape needs to have less than 5 sides.

A prism, is a three-dimensional geometric shape, so it can't have a 2 sided shape.

So, there're two choices of sides.

i.e., either 3 sides or 4 sides

A 3 sides shape is a triangle, which also can't be cut into a 5 sided prism.

Hence,  the minimum number of sides that the polygon at the base of the prism must have is 4.

Read more about polygons here:

brainly.com/question/1592456

#SPJ2

Q&A Education