A sphere
When the surface area and the volume are the same, the height has a value of one unit. Example based on values given: A=LxW = 25x5 = 125 sq ft. V= LxWxH = 25x5x1 = 125 cu ft. The surface area and the volume have the same value.
Math
Volume of a sphere = 4/3*pi*radius3 Surface area of a sphere = 4*pi*radius2
The geometric mean of 3 and 75 is 15.0
False (apex)
A sphere
the sphere has the smallest surface area for any given volume.
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.
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.
A cuboid, of a given volume, has minimum length etc when each of them is equal to the cube root of the volume.
Water has its smallest volume (for any given mass) at 4 degrees Celsius.
increase surface area for a given volume
make it spherical
Given a sphere of radius r, Surface area = 4{pi}r2 Volume = (4/3){pi}r3
By dividing its cross-section area into its volume
Given the surface area, where S=surface area, the formula for finding the volume isV = √(S / 4pi)
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.