answersLogoWhite

0

Explain why is cube a prism?

User Avatar

Ronaldono1fan

Lvl 1
15y ago
Updated: 10/17/2024

From the Prism (geometry) Wiki - In geometry, an n-sided prism is a polyhedron made of an n-sided polygonal base, a translated copy, and n faces joining corresponding sides. Thus these joining faces are parallelograms.

Taking this and relating it to a cube, the n-sided base is one of the faces of the cube (any will do as they will all be equal in terms of size and internal/external angles) and the translated copy is the opposite face on the cube.

Because the n-sided base has 4 sides, it leads that there are 4 faces connected to this base, which will make up the sides of the cube.

In a cube the length of these 4 side faces will be equal in length to the width and length of the base - this makes the cube different to any other 6 sided prism (aka Rhombohedron).

If the length of the side faces wasn't equal in length to the width and length of the base the resulting shape would still be a prism and a rhombohedron, but it would no longer be a cube.

User Avatar

Wiki User

15y ago

What else can I help you with?

Related Questions

Is a cube than a rectangular prism?

No, a cube is a cube and a rectangular prism is a rectangular prism. They are two different shapes.


Why is cube not a prism?

A cube is a prism. A cube is another term for a square prism, that makes cube a prism. Others call it special because a cube has 6 square and sometimes equal sides/faces.


Is a rubik cube a rectangular prism?

A Rubik's cube is a cube, therefore it is a type of rectangular prism.


What is the difference between a cube and a prism?

A cube is a special kind of prism.


Can a cube be a rectangular prism?

A cube cannot be a rectangular prism, as the cross section of this prism would be a rectangle, as opposed to a square. A square prism (if that is what it is called) could be a cube, but is not necessarily.


Is a cube a prism or pyramid?

Prism


What is the cube and rectagular prism the same?

A cube is a special kind of rectangular prism.


How is a cube and rectangular prism the same?

A cube is a special case of a rectangular prism. If each edge of a rectangular prism were of the same measure, then it would be a cube.


How many more edges does a cube have than a triangular prism?

Cube: 12Triangular prism: 9Difference: 3A cube has 12 edges.A triangular prism has 9 edges.The cube has 3 more edges than the triangular prism.


Is a cube and cylinder alike?

yes! A cube is a type of prism. A prism is a subcategory of a cylinder. Then I cube is a type of cylinder


Explain how to find the volume of the rectangular prism shown Then find the volume Each cube is?

This is clearly lifted from some test paper, omitting the vital diagram. The volume of a rectangular prism is the area of the base multiplied by the height. Same for a cube.


Why is a cube a speacial kind of rectagular prism?

why is a cube a speacial kind of rectangular prism