Final answer:
The total volume of both boxes is 214 cubic inches.
Step-by-step explanation:
To find the total volume of both boxes, we need to find the volumes of each box and add them together.
For the bottom box, volume = length x width x height = 6in x 5in x 5in = 150in³.
For the top box, since it is a cube, the volume is given by the formula V = edge x edge x edge = 4in x 4in x 4in = 64in³.
Therefore, the total volume of both boxes is 150in³ + 64in³ = 214in³.