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what solid has got the following
8 edges
5 vertices
and 5 faces.
1 of these faces is a square.
from desa
A square-based pyramid would work. I can't think of any others, but there might be some. I doubt it, though.
Why did the vector cross the road?
It wanted to be normal.
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I think that's the only one...since one square face is given, that accounts for four vertices...then there is only one other to work with, so you need a pyramid.
The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
-Bertrand Russell
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my daughter would like to know what object has 6 vertices&10edges plus what has 8 faces&12 vertices
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The first object could be pentagonal pyramid. The pentagon would have 5 edges and vertices, and there would be another vertex somewhere else, with 5 edges joining it to each vertex on the pentagon.
The second could be a hexagonal prism. Two hexagons, each with 6 vertices (making 12 in all), and each vertex joined up with another vertex on the other hexagon. There are 6 faces made up by the edges joining the two hexagons, and another 2 faces made by the hexagons themselves.
There might be alternate answers to both of these.
Why did the vector cross the road?
It wanted to be normal.
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The first object could be pentagonal pyramid.
Wouldn't a pentagonal pyramid have six sides?
You can shear a sheep many times but skin him only once.
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No, that has 10 sides, like the question asks for. The pentagon has 5 sides, and then there are 5 more sides joining each corner of the pentagon to the pyramid's apex.
Why did the vector cross the road?
It wanted to be normal.
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