how does volume change as perimeter changes?

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how does volume change as perimeter changes?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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This is a problem involving addition and multiplication. Look at the units, in SI notation. The perimeter, be a square (4x, where x is the length of one side), or a circle (2\[\Pi\]r^2), the units are all in METERS. now, the volume is a different story, the volume is METERS CUBED. So if the perimeter of a UNIFORM REGULAR SHAPED OBJECT, like a cube is increased, the volume is increased by a conversion power of 3. But if it's not a uniform object, then no one can say anything about it cause the perimeter of one little side might shrink but the size can still increase. This problem is trying to relate 2D to 3D... you might want to check if it's really "perimeter" that it's asking.. should be "surface area"

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