I need help to find the surface area to the nearest hundreds

The volume of the pentagonal prism is 1446.25

Step-by-step explanation:

First of all we need to calculate the area of the pentagon

A = area

a =  apothem = 8.9

p = perimeter = 13 * 5 = 65

A = (a*p) / 2

A = (8.9 * 65) / 2

A = 578.5 / 2

A = 289.25

To calculate the volume of a pentagonal prism we have to use the following formula:

a = area =  289.25

v = volume

h = height  = 5

v = a * h

we replace the values that we know        

v =   289.25 * 5

v = 1446.25

The volume of the pentagonal prism is 1446.25