Pyramid

Pyramid

Secondary 2

A pyramid is a solid with a polygonal base and triangular lateral faces that meet at one point, called the apex. Each lateral face joins one base edge to the apex. The edges from the apex to the vertices of the base are the slant edges.

Right Pyramid

For the regular-base pyramids shown here, a right pyramid has its apex vertically above the centre of the base.

• The height (or the perpendicular height) of a pyramid is the perpendicular distance from the apex to the base of pyramid.

The slant height of a triangular face is its perpendicular altitude from the apex to that face’s base edge. In a right pyramid with a regular base, it meets the midpoint of that edge. It is generally different from a slant edge.

Volume of Pyramid

Volume of pyramid = \(\frac{1}{3}\times \) base area \(\times \) height

Visualisation of Volume of Pyramid

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Answer:A pyramid with base area \(A\) and perpendicular height \(h\) has volume \(V=\frac{1}{3}Ah\). In a right pyramid, the apex lies vertically above the centre of the base.

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