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You cannot compare volume and surface area and claim which one is bigger, because the units are different (units2 vs. units3) and it also depends on the type of unit used (e.g. inches, centimeters). You could compare volume and surface area numerically, but that would be virtually meaningless.

I previously posted an example of a cube with side length 1 meter. In this cube, the volume is 1 m3 and the surface area is 6 m2, implying "larger" surface area. However, if we said that the side length was 100 centimeters (same value), the volume would be 106 cm3 and the surface area would be 6*104 m2. Here, the volume was "larger."

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