Solid Geometry

Find the Lateral area in cm square of the following right pryramid.

1. Base is regular octagon of side 20cm and altitude of 20cm.

2. Base is regular hexagon of side 20cm and altitude of 30cm.

3. Base is regular hexagon of side 30cm and slant height of 50cm.

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1. these are all the same problem.

The lateral area is just the area of eight identical isosceles triangles, each with base equal to the side of the octagon, and height equal to the slant height of the pyramid, or √(h^2+a^2) where h is the height of the pyramid and a is the apothem of the base polygon.

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posted by Steve

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