Posted by **JOY** on Thursday, May 12, 2011 at 10:00am.

Determine the slant height of a right pyramid whose lateral area is 90 ft^2 and whose base is a regular hexagon with a 3 ft side.

- Geometry -
**MathMate**, Thursday, May 12, 2011 at 12:07pm
The lateral area of a pyramid can be calculated by the following formula:

Area, A = pa/2

p=permimeter of the base polygon

a=apothem of the pyramid, i.e. the slant height.

Therefore, the slant height (or the apothem, a) can be calculated as follows:

a = 2*lateral area/perimeter of base

= 2A/p

- Geometry -
**JOY**, Thursday, May 12, 2011 at 12:49pm
How do I find the perimeter of base

is it 18

- Geometry -
**MathMate**, Thursday, May 12, 2011 at 2:46pm
Yes, 18 is correct.

A hexagon has 6 sides, each of length 3 ft. So

Perimeter, p = 6*3 ft = 18 ft.

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