spannnku spannnku
  • 23-04-2019
  • Mathematics
contestada

a polyhedron has 24 edges and 12 vertices. how many faces does it have​

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-05-2019

ANSWER

14 faces

EXPLANATION

The relation between the number of faces, the number of vertices and the number of edges a polyhedron has is given by the formula,

F+V=E+2.

It was given that, the number of edges is

E=24 and the number of vertices is

V=12.

We substitute the values into the formula to find F, the number of faces.

F+12=24+2

Group similar terms,

F=24+2-12

F=14.

Hence the polyhedron has 14 faces.

Answer Link
ellenrochlin ellenrochlin
  • 05-05-2021

Answer: 14

Step-by-step explanation:

Answer Link

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