Pyramid with a square base. One square side on the bottom and four triangles meeting at a point on the top.
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A rectangular pyramid (four-sided base) has 5 faces and 5 vertices.
A square based pyramid
Pyramid
A solid figure with twenty faces is called an Icosahedron.
a pyramid, in the sense that most people think of has a square base, with 4 triangle 'sides', which would be 5 faces. A regular tetrahedron has 4 equilateral triangles as faces.