Answer:
6
Step-by-step explanation:
volume of prism = area of cross section * height
area of cross section =162/6√3 =27/√3
since the base angles are each 60 degrees, the triangle is an equilateral triangle. for equilateral triangles, area =(√3 * side^2)/4
hence,
27/√3 = (√3 * side^2)/4
side^2 = (27/√3) / (√3/4) = 108/3 = 36
side = ±√36 = 6 or -6 (rej as side >0)
