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3 squares and 4 triangles will have 24 vertices. There will be 4 vertices for each of the 3 squares. Since there are 3 squares, that will be 12 vertices. There are 3 vertices for each of the 4 triangles. Since there are 4 triangles, that will be 12 vertices. 12+12=24.
A pentagon has 3 triangles and 5 sides
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Square Based PyramidTetrahedron: A tetrahedron is a polyhedron made of 4 triangles. A "regular tetrahedron" is a tetrahedron where the triangles are equilateral. (A polyhedron is any 3 dimentional figure made of flat surfaces and straight lines.)