Question

PLS HELP ME!! :((

Find the volume, given that the apothem is 11.3 in. (hint: remember for regular polygons, A = 2 (apothem) (Perimeter) Round your answer to the nearest - tenth.

Answer 1

V = 3085 in³

Explanation:

The volume is given by:

`V = A*h`

Where:

A: is the area

h: is the height = 7 in

The area of the polygon can be found by using the given equation:

`A = (1)/(2)a*p`

Where:

a: is the apothem = 11.3 in

p: is the perimeter

The perimeter is:

`p = 13*6 = 78 in`

Hence, the volume is:

`V = A*h = (1)/(2)a*p*h = (1)/(2)11.3 in*78 in*7 in = 3085 in^(3)`

I hope it helps you!