To determine the number of triangular bases among three square pyramids and two pentagonal pyramids, we need to know the number of triangular faces each pyramid has.
A square pyramid has 4 triangular faces, as the base is a square and there is an additional triangular face connecting the apex to each vertex of the base.
A pentagonal pyramid has 5 triangular faces, as the base is a pentagon and there is an additional triangular face connecting the apex to each vertex of the base.
Therefore, to calculate the total number of triangular bases among the pyramids, we need to add up the number of triangular faces from each type of pyramid.
For the three square pyramids, there would be 3 * 4 = 12 triangular faces.
For the two pentagonal pyramids, there would be 2 * 5 = 10 triangular faces.
Adding them together, we have 12 + 10 = 22 triangular faces in total among all the pyramids.
However, since each triangular base is shared by two triangular faces (one from each adjacent pyramid), the actual number of unique triangular bases would be half of the total number of triangular faces.
Thus, the number of triangular bases among the given pyramids would be 22 / 2 = 11 triangular bases.
Many triangular bases are there among three square pyramids, and two Pentagonal pyramids that Jayla sees on her trip to Egypt
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1 answer