The height of an equilateral triangle with side s is s*sqrt(3)/2 The area of an equilateral triangle is therefore s^2*sqrt(3)/4 The area of a hexagon with side s is 6 times the area of an equilateral triangle =6*s^2*sqrt(3)/4 =3s^2*sqrt(3)/2
Here s=4, Area of base (hexagon) = 3*4^2*sqrt(3)/2=24sqrt(3) Volume of prism =(base area)*height =24sqrt(3)*9 =216sqrt(3)
