A right prism with height 14 cm and equilateral triangle base with side 8 cm

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