# What are regular polyhedrons? Give a few examples. Can we have general formula for finding their surface areas?

Please see below.

A regular polyhedron is one whose all surfaces are regular polygon. The latter is one whose all sides and interior angles are equal.

Two such well known polyhedrons are tetrahedron (formed by four equal equilateral triangles ) and cube (formed by six equal squares ).

Others are octahedron (formed by eight equal equilateral triangles ), dodechedron (formed by twelve equal regular pentagons ) and icosahedron (formed by twenty equal equilateral triangles ).

These appear as shown below:

Formulas can be generated for finding their surface areas based on either the length of the side of the regular polygon say

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Regular polyhedra are three-dimensional shapes composed of identical polygonal faces, where the same number of faces meet at each vertex, and the angles between adjacent faces are the same. A general formula for finding the surface area of a regular polyhedron can be derived based on its properties. The formula is:

Surface Area = (Number of Faces) * (Area of One Face)

Some examples of regular polyhedra include:

- Tetrahedron: It has 4 equilateral triangular faces.
- Cube: It has 6 square faces.
- Octahedron: It has 8 equilateral triangular faces.
- Dodecahedron: It has 12 regular pentagonal faces.
- Icosahedron: It has 20 equilateral triangular faces.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- How do you find the height of a parallelogram with an area of 56 and a base of 20?
- Two corners of a triangle have angles of #pi / 6 # and # pi / 2 #. If one side of the triangle has a length of #3 #, what is the longest possible perimeter of the triangle?

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