Question

Nanako said she drew a square pyramid and that all of the faces are triangles. Is this possible? Explain.

Answer 1

No because a square pyramid has to have a square at the bottom with four triangles at the sides of the square and connecting at a point

Answer 2

Square pyramid is a Polyhedron .i.e., It is entirely made up of polygons.

A quadrilateral namely Square and 4 triangles used to form a square pyramid.

Which means Faces of Square pyramid has a square and 4 triangles.

Square is in base of pyramid and triangles are on sides.

Therefore, It is not possible that all faces of square pyramid are triangles.