The volume of the compartment shaped like this hexagonal prism is 29.4 cm³
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a hexagonal prism = area of base * height
Hence:
Volume = 7.35 cm² * 4 cm = 29.4 cm³
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16x > 12(2x - 6) - 24
16x > 24x - 72 - 24
16x > 24x - 96
-24x -24x
-8x > -96
x < 12