<h2>
Answer:</h2>
The volume of the figure is:
<em> </em><em> 399 cubic inches.</em>
<h2>
Step-by-step explanation:</h2>
The volume of the figure is equal to the sum of volume of two rectangular prism.
(one with dimensions 5 in, 6 in and 7 in.
and the other with dimensions 3 in. , 7 in. and 9 in. )
Volume of rectangular prism with dimension 5 in, 6 in and 7 in. is:
Volume= 5×6×7=210 cubic inches.
and the volume of the rectangular prism with dimension 3 in. , 7 in. and 9 in. is:
Volume=3×7×9=189 cubic inches.
Hence, the volume of the figure is:
210+189=399 cubic inches.