Question

using Euler's formula find the unknown faces =?, vertices=6 and edges =12​

Answer 1

Answer:

8 Faces.

Solution:

Euler's Formula:

$\large \underline{\boxed{\rm{ Face + Vertices = Edges + 2}}}$

• Vertices = 6
• Edges = 12
• Let Faces = x

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According to Euler's formula:

⟹⠀Faces + Vertices = Edges + 2

⟹⠀x + 6 = 12 + 2

⟹⠀x + 6 = 14

⟹⠀x = 14 - 6

⟹⠀x = 8

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The number of faces of the polyhedron = x = 8

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know more:

• Euler's formula is only applicable for polyhedrons.
• A polyhydron is a three dimensional figure ( 3-D).
• It has it faces as polygons.
• Edges are straight lines and vertices are sharp corner.

A polygon is a two dimensional figure or a plane figure. which has its sides as straight lines.