SOLUTION: A decagonal trapezohedron has 20 faces, each of
which is a kite. How many vertices are there on a
decagonal trapezohedron?
Algebra.Com
Question 1180622: A decagonal trapezohedron has 20 faces, each of
which is a kite. How many vertices are there on a
decagonal trapezohedron?
Found 3 solutions by MathLover1, ikleyn, greenestamps:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Set of trapezohedra faces kites, edges , and vertices
if a decagonal trapezohedron has faces, then
then the number of vertices is
there are vertices on a decagonal trapezohedron
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
On a decagonal trapezohedron, see this link
https://en.wikipedia.org/wiki/Decagonal_trapezohedron
and also
https://en.wikipedia.org/wiki/Trapezohedron
Find there a picture (a Figure) and all associated information.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
One tutor apparently quoted a reference to show the answer; another pointed you to a reference where you can find the answer.
An alternative to that approach is to do some math and get some practice in problem-solving skills.
The figure has 20 faces, each of which is a kite. The 20 kites together have a total of 20*4=80 edges. An edge of the solid is where the edges of two faces meet. The number of edges is therefore 80/2=40.
Then use Euler's formula to determine the number of vertices:
E = V+F-2
40 = V+20-2
V = 22
ANSWER: this solid has 22 vertices.
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