Surface area versus volume concerning boat hull design?

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The more surface area you have the more volume you have on a vessel. The more surface area you have the more power your ship will require.

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The surface to volume ratio for a ships hull is typically (as a rule of thumb) about 3:1.

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Length is the dimension that adds the least amount of resistance per unit increase. (By that I mean that if you have a ship and you need more volume you should lengthen it. Stretching the length dimension causes less resistance then in creasing the beam or the draft.) Be aware, this DOES still add some resistance.

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yes, more surface area equals more volume.

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The more surface area touching the water(length) the faster. Wider boats would have more volume but be slower.

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In dealing with displacement hulls, the smallest surface area would result in a semi spherical smooth hull design, while allowing for maximum displacement. But this is not the best hull design to move through the water. The longer the length in relationship to frontal area produces the least amount of drag. Some of the most efficent hull designs are submarines...which is like taking the sphere...and stretching it and pinching the tail so that water will smoothly reattach itself in the rear.
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