A cubical container measures 6 in on each edge. What does it cost to fill the container at $2.34 per cubic in?

The volume of the cubical container is found by multiplying the length of one side cubed: 6 inches x 6 inches x 6 inches = <<6*6*6=216>>216 cubic inches

To find the cost of filling the container, multiply the volume of the container by the cost per cubic inch: 216 cubic inches x $2.34/cubic inch = $<<216*2.34=504.24>>504.24. Answer: \boxed{504.24}.