# The Rectangular Prism

## Most commonly referred to as a Cuboid

The rectangular prism can cause some problems for the K-6 student, not because it is complicated, but because they have not learned the organization of shapes properly. They have learned that a square is a square, and a rectangle a rectangle - but have failed to make the connection that a square is a rectangle.

But warning! Just because a square is a rectangle, does not make a rectangle a square

For these types of situations, I like to use something that kids are familiar with, such as fruit.

We have the group of foods called fruits. Now an apple is a fruit, an orange is a fruit, but this does not mean an apple is an orange!

## So what is a Rectangular Prism?

We know that it is a prism, which means that it is made up of two identical shapes, which in turn are connected with straight and parallel lines.

As it is a Rectangular Prism, we know the two identical shapes are rectangles.

A rectangle is a quadrilateral, with four right angles and two pairs of lines equal in length and parallel to each other.

## So, what is a Cuboid?

Cuboid is simply ANOTHER NAME for a Rectangular Prism!

## Is a Cube a Prism?

The short answer - YES, but why?

A cube is a cuboid where all it's six faces are squares of equal size.

Look at the definition of a rectangle above. Does the square fit this description? Yes. It is a quadrilateral. It does have 4 right angles. They are all parallel and the opposite sides are of equal length. So a square is a rectangle, which means that a cube is a prism or a cuboid!

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