Question

The number of vertices in a prism is twice the number of vertices of one of the bases. How many vertices does one of the bases of a regular prism with 14 faces and 36 edges have? Euler’s formula: V + F = E + 2 12 13 17 24

Answer 1

V + F = E + 2
V + 14 = 36 + 2
V + 14 = 38
- 14 -14
V = 24
the answer is D.) 24

Answer 2

The number of vertices will be 24. The correct option is D.

What is a prism?

A prism is a polyhedron in geometry that has n parallelogram faces that connect the n-sided polygon basis, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.

It is given that the number of vertices in a prism is twice the number of vertices of one of the bases. The number of the vertices of a regular prism with 14 faces and 36 edges is calculated as below:-

Use Euler's formula:-

V + F = E + 2

V + 14 = 36 + 2

V + 14 = 38

V = 38 - 14

V = 24

Therefore, the number of vertices will be 24. The correct option is D.

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