A polyhedron has 24 edges and 12 vertices. how many faces does it have
1 answer:
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.
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