Math CentralQuandaries & Queries


Question from monica, a student:

what is the volume of a hexagon when the base of one triangle is 6cm and has the height of 5.1cm the height of the regular hexagonal pyramid is 18cm?

Hi Monica,

The volume of a pyramid is

1/3 (area of the base) ×(height of the pyramid)

You can find the area of the hexagonal base using the technique that Steve used in a reply to an earlier question. (The height of the triangle pieces that form the base is closer to 5.2 cm than 5.1 cm.)


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