Cross Sections

A cross section is the shape we get when cutting straight through an object.

cross section of prism



The cross section of this object is a triangle.

 

It is like a view into the inside of something made by cutting through it.

This is a cross-section of a piece of celery. cross-section of a piece of celery

Geometry

In geometry it is the shape made when a solid is cut through by a plane.

cylinder cross section

Example:

The cross section of this circular cylinder is a circle

 

 

We don't draw the rest of the object, just the shape made when you cut through.

cross-section of a pyramid

Example:

The cross section of a rectangular pyramid is a rectangle

 

 

Cross sections are usually parallel to the base like above, but can be in any direction.

torus cross section

Example:

The vertical cross section of this torus is two circles!

torus horizontal cross section

 

And the horizontal cross section is an annulus

More Examples of Cross Sections


Square Prism: Cross-Section:
square prism square

Cube: Cross-Section:
cube square

Pentagonal Prism: Cross-Section:

pentagonal prism
pentagon