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.

Detailed explanation

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Test yourself on the components of the orthohedron!

The number of vertices in the cuboid is:

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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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Test your knowledge

Question 1

The number of edges in the cuboid is:

Question 2

The number of faces in the cuboid is:

Question 3

The volume of the cuboid is es:

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?

Question 1

The quadrilateral of the cuboid is:

Question 2

Look at the cuboid in the figure.

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

Question 3

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

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:

The orthohedron has length, width, and height

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:

Check your understanding

Question 1

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

Question 2

Look at the cuboid below.

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

Question 3

The combined size of the angles between two edges of the cuboid is...?

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?

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.

Do you think you will be able to solve it?

Question 1

The number of vertices in the cuboid is:

Question 2

The number of edges in the cuboid is:

Question 3

The number of faces in the cuboid is:

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