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The volume of the figure can be found by adding the volumes of the two rectangular prisms:
Volume 1 = 4 x 4 x 2 = 32 cubic inches
Volume 2 = 8 x 8 x 4 = 256 cubic inches
Total volume = Volume 1 + Volume 2
Total volume = 32 + 256
Total volume = 288 cubic inches
Therefore, the volume of this figure is 288 cubic inches.