# Notes

## Notes - notes.io

The slant height (l) of a regular pyramid is the length of the altitude of any one of its lateral faces. The slant height is simply the height of one of the triangles that creates a side of the pyramid (a lateral face). Do not get confused between the slant height and the height or altitude of the pyramid. The slant height is the height of a triangular side. The height or altitude is the height of the entire pyramid (the perpendicular distance from the vertex to the base). These are NOT the same number!

The lateral area (L.A.) of a pyramid is the sum of the areas of the lateral faces. In order to find the lateral area, we would simply find the area of each triangular lateral side and add them together.

The total area (T.A.) of a pyramid is the sum of the lateral area and the area of the base.
If a pyramid is nonregular, we must have enough measures given to find the area of each face. However, if a pyramid is regular, the area can be computed even if only enough measures are given to find the area of one face and the base.

Area of one lateral face = sl

Notice that this formula is the same as the area of a triangle except we use the length of side of the pyramid base (s) and the slant height (l).

Area of n lateral faces = n( sl). This simply means that if we find the area of one lateral face, we multiply that by the number of lateral faces since they are congruent in a regular pyramid.

= (ns)l

Because ns = p of the base,

L.A. = pl and T. A. = pl + B

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