Answer:
Area of the prism = 927 in²
Step-by-step explanation:
Area of the prism is defined by A = Area of the base × height
Since base of the prism is an octagon with side length = 4 inches
and apothem = 4.83 inches
Now area of the octagonal base = [tex]\frac{1}{2}(\text{Perimeter})(\text{Apothem})[/tex]
= [tex]\frac{1}{2}(4)(8)(4.83)[/tex]
= 77.28 inch²
Now area of the prism = 12×77.28 = 927.36 inch²
Therefore, area of the prism having base in the shape of an octagon is 927 inch²
