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

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.

Look at the cuboid in the figure.

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

Rectangular prism! What a magnificent figure!

In this article, we will learn about the rectangular prism and its parts.

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.

Test your knowledge

Question 1

The volume of the cuboid is es:

Question 2

The quadrilateral of the cuboid is:

Question 3

The number of faces in the cuboid is:

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

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?

Question 1

The number of edges in the cuboid is:

Question 2

How many diagonals identical to the dotted diagonal in the diagram are there in the rectangular prism?

Question 3

The number of vertices in the cuboid is:

The rectangular prism has $12$ edges or sides.

Let's see them painted orange in the illustration:

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.

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:

Check your understanding

Question 1

Which of the line segments is the diagonal of the rectangular prism?

Question 2

Look at the dotted diagonal in the figure below.

Which diagonals of the rectangular prism are equal?

Question 3

Which is the longest line indicated in the diagram?

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:

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?

**Answer:**

$8$ vertices.

How many faces are there in the rectangular prism?**Answer:**

$6$ faces.

How many edges are there in the rectangular prism?

A. $6$

B. $12$

C. $14$

D. $8$

**Answer:** B. $12$ edges.

Look at the cuboid in the figure.

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

EF

The volume of the cuboid is es:

length X widthX height

The quadrilateral of the cuboid is:

Rectangle

The number of faces in the cuboid is:

$6$

The number of edges in the cuboid is:

$12$

Do you think you will be able to solve it?

Question 1

Which of the shapes has a dotted diagonal equal in length to the dotted diagonal shown below?

Question 2

Look at the cuboid below.

Which of the following answers is a face of the given cuboid?

Question 3

Choose the dimensions that represent an orthohedron with a square base.