Find the volume of the composite figure.

I split the figure into two shapes, a rectangular prism and a triangular prism.

I label each new shape with the lengths from the original diagram.

I use the original dimensions to find the volume of the rectangular prism.

I do the same thing with the triangular prism.

I add the volumes to find the volume of the whole figure!

520 + 150 = 670 in^{3}