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In general, the volume will also increase. If the shape remains the same, the volume will increase faster than the surface area. Specifically, the surface area is proportional to the square of an object's diameter (or any other linear measurement), while the volume is proportional to the cube of any linear measurement.
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How do you find SA ratio with volume ratio?
The surface-area-to-volume ratio also called the surface-to-volume ratio and variously denoted sa/volor SA:V, is the amount of surface area per unit volume of an object or collection of objects. The surface-area-to-volume ratio is measured in units of inverse distance. A cube with sides of length a will have a surface area of 6a2 and a volume of a3. The surface to volume ratio for a cube is thus shown as .For a given shape, SA:V is inversely proportional to size. A cube 2 m on a side has a ratio of 3 m−1, half that of a cube 1 m on a side. On the converse, preserving SA:V as size increases requires changing to a less compact shape.
What happens to the radius if the volume of a cylinder is doubled?
It depends on whether the height remains unchanged or increases in the same proportion as the radius.
How do you calculate the surface-area-to-volume-ratio?
The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.
When all dimensions are tripled what happens to the volume?
If linear dimensions are increased by a certain factor, the volume will increase by that same factor, raised to the third power - so, in this case, 3 to the power 3.
What has to have more density for an object to float on water the object or water?
Normally the water - to float and object has to displace a volume of water equal to its mass. If its density is greater than that of water, the maximum mass of water it can displace is its own volume which, as the water is less dense that it, will have less mass than the object and it will sink. However, for small light objects the surface tension of water comes into play - it is possible to float a steel sewing needle (with a density greater than water) on water by gently dropping a clean needle on its side onto the water surface so that it does not break the surface tension. With a needle floating, adding a few drops of washing up liquid to the surface reduces the surface tension and the needle will then sink.
