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Burka [1]
4 years ago
10

How many edges and vertices does a prism with 100 sided end faced have ? Please answer as quickly as possible ≈[infinity]

Mathematics
1 answer:
Darya [45]4 years ago
7 0

Answer:

We have 300 edges and 200 vertices

Step-by-step explanation:

A prism is basically a 2D shape which extends into three dimensions. Thus, it has two end faces, and one face for each side on the original shape.

In addition to the two 100-sided polygons at top and bottom, the prism will also have 100 rectangular faces.

We will solve this by Euler’s formula which ks:

V - E + F = 2

where;

V is the number of vertices (corners),

E is the number of edges

F is the number of faces (of any polyhedron).

Number of vertices is 100 surrounding the top while it's 100 at the bottom. So total V = 100 + 100 = 200 .

The number of edges is 100 at the top, and 100 at the bottom. Also an additional 100 separating the hundred vertical faces.

Total number of edges is;

E = 100 + 100 + 100 = 300.

Thus, we have 300 edges and 200 vertices

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Answer:

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Step-by-step explanation:

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and,

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therefore,

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Nutka1998 [239]
They're all correct! Nice job :)
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