Their is nothing for us to answer.
I think it's either 18 or 24.. I've had this question before but I'm not positive which answer I put and if it was correct, sorry I couldnt help much :(
So the solid consist of 1 pentagon, 5 congruent equilateral triangle and 5 congruent squares and has 11 vertices so the number of edges of this solid is 20. I hope you are satisfied with my answer and feel free to ask form more if you have more clarifications.