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# Prisms

## A prism has the same cross section all along its length !

 A cross section is the shape you get when cutting straight across an object. The cross section of this object is a triangle ... .. it has the same cross section all along its length ... ... and so it's a triangular prism.

Try drawing a shape on a piece of paper (using straight lines!),
then imagine it extending up from the sheet of paper,
- that's a prism !

## No Curves!

A prism is officially a polyhedron, which means all sides should be flat. No curved sides.

So the cross section will be a polygon (a straight-edged figure). For example, if the cross section was a circle then it would be a cylinder, not a prism.

## These are all Prisms:

 Square Prism: Cross-Section: Cube: Cross-Section: (yes, a cube is a prism, because it is a square all along its length) (Also see Rectangular Prisms ) Triangular Prism: Cross-Section: Pentagonal Prism: Cross-Section:

## Regular and Irregular Prisms

All the previous examples are Regular Prisms, because the cross section is regular (in other words it is a shape with equal edge lengths)

Here is an example of an Irregular Prism:

 Irregular Pentagonal Prism: Cross-Section: (It is "irregular" because the Pentagon is not "regular"in shape)

## Volume of a Prism

The Volume of a prism is simply the area of one end times the length of the prism

 Volume = Area × Length Example: What is the volume of a prism whose ends are 25 in2 and which is 12 in long: Answer: Volume = 25 in2 × 12 in = 300 in3 (Note: we have an Area Calculation Tool)