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.

## Answer This Question

## Related Questions

- geometry - Determine the slant height of a right pyramid whose lateral area is ...
- math - Find the lateral area of a regular pyramid whose base is a square whose ...
- math - Find the lateral area of a regular pyramid whose base is a square, whose ...
- GEOMETRY - FIND THE LATERAL AREA OF A RIGHT PYRAMID WHOSE SLANT HEIGHT IS 18mm ...
- Geometry - The base of a regular pyramid is a hexagon whose sides have length 5 ...
- math - Find the lateral area of a regular pyrmid whose base is a sqauare, whose ...
- Geometry - Find the lateral area and surface area for a right cone whose slant ...
- geometry - How do you find the lateral area and perimeter of a pentagonal ...
- Geometry please help me need to finish! - The slant height of a regular ...
- Mathematics - OPQRS is a right pyramid whose base is a square of sides 12cm each...

More Related Questions