Geometry B
posted by Makayla on .
A solid has 10 faces: 4 triangles;1 Square; 4 hexagons; and 1 octagon, how many vertices does the solid have?

Euler showed that F+VE=2, so now we know that
EV = 10
Since each edge belongs to two polygons, there are (4*3+1*4+4*6+1*8)/2 = 24 edges
So, there are 14 vertices
seems reasonable, since all vertices belong to 3 or mlore polygons