The volume of the object is 386.4cm^3
First we have to find the height of the triangle which is the base.
h=(8/2)•√3
h=6.9
So the are of a triangles the base times the height dived by two.
A=(8•6.9)/2
A=27.6cm^2
To finde the volume just multiply the area of the base times the height of the prism which in this case is 14 cm
V=27.6•14=386.4cm^3