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A sphere

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Q: What geometric shape has the smallest surface area for a given volume?
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Related questions

What geometric shape has the smallest surface area for given volume?

A sphere


What solid shape minimises surface area?

the sphere has the smallest surface area for any given volume.


Why is a bubble spherical?

The spherical shape is the smallest surface area for a given volume. This comes about naturally when a surface under pure surface tension contains a fluid volume.


What does volume and surface area have in common?

The volume of a body and the surface area arerelated but not in a direct way. For a given volume, the smallest surface area of an object is seen then the object is a sphere. As the shape flattens from a sphere, so the surface area becomes larger. When the object approaches an infinitely small thickness, the surface area approaches and infinite size.


How can I work out the smallest needed width volume and height for a box with a given volume?

A cuboid, of a given volume, has minimum length etc when each of them is equal to the cube root of the volume.


At what temperature do the combined effects of contraction and expansion produce the smallest volume of water?

Water has its smallest volume (for any given mass) at 4 degrees Celsius.


Why do alveoli have folds in them?

increase surface area for a given volume


How to Maximize volume given surface area?

make it spherical


How to find the surface area and volume of a sphere with a given radius.?

Given a sphere of radius r, Surface area = 4{pi}r2 Volume = (4/3){pi}r3


How do you find height in a cylinder given surface and volume?

By dividing its cross-section area into its volume


What is the formula for the volume of a sphere in terms of surface area S?

Given the surface area, where S=surface area, the formula for finding the volume isV = √(S / 4pi)


Why are mercury drops spherical?

Mercury has a very high surface tension and does not easily wet most other surfaces. For a given amount of mercury, a sphere has the smallest possible ratio of surface area to volume and is therefor the lowest energy shape for the mercury.