# Parts of a Rectangular Prism

🏆Practice the components of the orthohedron

## Parts of a Rectangular Prism

The rectangular prism is a three-dimensional figure composed of $6$ rectangles.

Every rectangular prism has:
$6$ faces -> rectangles that make up the rectangular prism.
$12$ edges -> (in length, width, and height).
$8$ vertices -> the corners where the edges meet.

## Test yourself on the components of the orthohedron!

Look at the cuboid in the figure.

Which of the following is an edge of the given cuboid?

## The parts of a rectangular prism

Rectangular prism! What a magnificent figure!
In this article, we will learn about the rectangular prism and its parts.

### What is a rectangular prism?

A rectangular prism can look like this:

• like this:
• even like this:

As long as it is a three-dimensional figure composed of $6$ rectangles, it will be a rectangular prism.
In the case that all the rectangles are equivalent, that is, length = width = height, we would be talking about a cube.

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## Parts of a Rectangular Prism

Now let's see what parts make up a rectangular prism

### Faces

The rectangles that make up the rectangular prism are called faces,
therefore, the rectangular prism has $6$ faces:

Do you know what the answer is?

### Edges

The rectangular prism has $12$ edges or sides.
Let's see them painted orange in the illustration:

#### More data about the edges

The rectangular prism has length, width, and height.
The width edge is identical to all the other width edges of the rectangular prism, there are $4$ like it.
The length edge is identical to all the other length edges of the rectangular prism, there are $4$ like it.
The height edge is identical to all the other height edges of the rectangular prism, there are $4$ like it.
Let's see what it's about in the illustration:

Height: marked in yellow
Width: marked in red
Height: marked in purple (violet)

Note: when it comes to a cube, the length is = to the width, which is also = to the height.

### Vertices

The vertices are those that join the edges of the rectangular prism.
Each rectangular prism has $8$ vertices.
Let's see them painted red in the illustration:

### Face Diagonals

The diagonals that go from one vertex to another on the same face are called external diagonals.
The $2$ vertices must belong to the same face.
Let's see an example in the illustration:

### Diagonals of the Rectangular Prism

The diagonals that go from one vertex to another vertex of a different face are called the diagonals of the orthohedron or internal diagonals.
The $2$ vertices are not on the same face.
Let's see an example in the illustration:

Exercise:
How many vertices are there in the rectangular prism?

$8$ vertices.

How many faces are there in the rectangular prism?
$6$ faces.

How many edges are there in the rectangular prism?

A.    $6$
B.    $12$
C.    $14$
D.    $8$

Answer: B. $12$ edges.

## Examples and exercises with solutions of the parts of a rectangular prism

### Exercise #1

Look at the cuboid in the figure.

Which of the following is an edge of the given cuboid?

EF

### Exercise #2

The volume of the cuboid is es:

### Video Solution

length X widthX height

### Exercise #3

The quadrilateral of the cuboid is:

Rectangle

### Exercise #4

The number of faces in the cuboid is:

### Video Solution

$6$

### Exercise #5

The number of edges in the cuboid is:

### Video Solution

$12$