Answer: the volume of the prism is 62.35 mi cube
Explanation:
so first we will find the area of triangular base of the prism, using heron formula.
and s(semi-perimeter)= a+b+c/2= 6+8+10/2= 24/2=12
Area of triangle= A = sqrt [s(s-a)(s-b)(s-c)] = sqrt {12*(12-6)(12-8)(12-10)} = sqrt {6*4*2} = sqrt (48)= 6.92 mi square
Volume = Area x Height
V= 6.92 x 9 = 62.35 mi cube.