Q:

How many corners does a square-based pyramid have?

A:

A square-based pyramid has five corners, which are typically called vertices. It consists of a square base, which has four corners, as well as a corner at the apex where the triangle faces converge.

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A square-based pyramid has eight edges, four along the square base and four where the triangle side faces meet each other. The surface area of a pyramid can be calculated by determining the surface area of each of the sides. Since all triangle faces are identical, the surface area for each are the same. The formula for volume is the base area times the height, all divided by three.

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By its very definition, a quadrilateral is merely a shape with four sides and four vertices or corners. The prefix "quad-" simply means "four" and lateral means "sides," so the name explicitly lays out its meaning.

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A square-based pyramid is a pentahedron with a base shaped like a square. This means that the square base has four sides that are all equal. The pyramid has five faces, consisting of its base and four triangles as sides.

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A rectangular pyramid is a pyramid that has a rectangle as the base and the rest of the faces are composed of triangles. A pyramid is named based on the shape of the base of the pyramid.