Answer:
55.4 in³
Step-by-step explanation:
The volume (V) of a triangular prism is
V = area of triangular face × length
note the triangle is equilateral with area (A)
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is the length of the side )
= [tex]\frac{16\sqrt{3} }{4}[/tex] = 4[tex]\sqrt{3}[/tex] in², hence
V = 4[tex]\sqrt{3}[/tex] × 8 = 32[tex]\sqrt{3}[/tex] ≈ 55.4 in³
