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 66 rectangles.

Every rectangular prism has:
66 faces -> rectangles that make up the rectangular prism.
1212 edges -> (in length, width, and height).
88 vertices -> the corners where the edges meet.

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Test yourself on the components of the orthohedron!

einstein

These are the dimensions of the orthohedra, the base of which of the orthohedra is a square?

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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:

Rectangular prism
  • like this:
A rectangular prism can look like this
  • even like this:
A rectangular prism

As long as it is a three-dimensional figure composed of 66 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 66 faces:


Do you know what the answer is?

Edges

The rectangular prism has 1212 edges or sides.
Let's see them painted orange in the illustration:

The rectangular prism has 12 edges or sides.


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 44 like it.
The length edge is identical to all the other length edges of the rectangular prism, there are 44 like it.
The height edge is identical to all the other height edges of the rectangular prism, there are 44 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 88 vertices.
Let's see them painted red in the illustration:

The vertices are those that join the edges of the orthohedron


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Face Diagonals

The diagonals that go from one vertex to another on the same face are called external diagonals.
The 22 vertices must belong to the same face.
Let's see an example in the illustration:

Face Diagonals


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 22 vertices are not on the same face.
Let's see an example in the illustration:

Diagonals of the orthohedron

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

Answer:
88 vertices.


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


How many edges are there in the rectangular prism?

A.    66
B.    1212
C.    1414
D.    88

Answer: B. 1212 edges.


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