A square pyramid is sliced downward, through the top vertex, by a plane. What is the shape of the resulting two dimensional figure?
Question
A square pyramid is sliced downward, through the top vertex, by a plane. What is the shape of the resulting two dimensional figure?
Solution
The shape of the resulting two-dimensional figure would be a triangle. Here's why:
- A square pyramid has a square base and four triangular faces that meet at a single point, the top vertex.
- If you slice the pyramid downward through the top vertex, you are cutting through one of the triangular faces of the pyramid.
- The cut or slice would reveal a two-dimensional shape that matches the face you cut through.
- Since the faces of a square pyramid are triangles, the resulting shape would be a triangle.
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