A tetrahedron has 4 faces and 6 edges. How many vertices does it have?
As we know for any polyhedron that doesn't intersect itself,
V-E+F=2
Where ,
V is number of vertices =?
E is number of edges =6
F is number of faces =4
So we have,
V-E+F=2⇒V-6+4=2⇒V-2=2⇒V=2+2⇒V=4
Hence, given tetrahedron have 4 vertices.
A solid has 10 faces and 15edges. How many vertices does it have?
A solid has 40 faces 60 edges how many vertices does it have.