Explanation:
base area of hexagonal prism =
6× ½×(2)(2)× sin 60° (regular prism)
= 12×½√3 = 6√3 sq. inches
Volume = base are x height
= 6√3 x 8 = 48√3 cu. inches
or 83.14 cu. inches
the lateral area = 6 × (2×8) = 96 sq. inches
total area = 2×(6√3) + 96
= (12√3 + 96) sq. inches
or 116.78 sq. inches