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Suppose the top face of the pyramid is ABCD with the square EFGH directly below it.
Suppose AC and BD meet at P, the apex of the pyramid.
Make a cut with a plane through P which is parallel to AB and goes through EF.
Make a cut with a plane through P which is parallel to BC and goes through FG.
Make a cut with a plane through P which is parallel to CD and goes through GH.
Make a cut with a plane through P which is parallel to DA and goes through HE.
The result will be the square-based pyramid PEFGH.
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What shapes are made to make a square pyramid?
A pyramid has a triangle for each side of the base, thus for a square pyramid you'll need one square (for the base) and 4 triangles.
What solid figure can you make with a square and 4 congruent triangles?
You can make square pyramid.
What are the special features of a square based pyramid?
It has a four sided square base and four other triangular sides reaching up to an apex. It is a pentahedron. If the four triangles are equilateral, it is known as a Johnson solid, and six of the pyramids will fit together to make an exact cube. If the four triangles are not equilateral, then they are isosceles.
What are the five faces that make up a square pyramid?
One square and four triangles.
How many 6 square nets are there that do not make a cube?
18
