This is the answer i have come up with so far:
According to page 53 of "Applied Mathematics 10 Source Book", your body generates heat according to it's volume. The area of your skin assosciates with the rate of cooling your body has. An important cooling mechanism is perspiration. As the water on your skin evaporates, it helps keep you cool.
If you were to enlarge a child by a factor of 32, it's body heat would rise along with volume. As it's volume grew, so would the 'surface area' of the child. Heat loss is a function of surface area, the child would continue to emit heat, but not quickly enough. The change in size of the child would corrupt the bodies natural cooling rate and the child would end up 'over heating' - probably severly dehydrated in time.Health implications that come with enlarging a child by a factor of 32 (Transpiration system issues)?What exactly do you mean by "enlarging a child by a factor of 32"? Do you mean, artificially? And by what means could one even enlarge a human being by "a factor of 32"? Or is this a theoretical question? Is this a math question or biology question?
Regardless, your argument is questionable. For instance, you claim that "heat loss is a function of surface area," but do not recognize the fact that surface area can be expressed as a function of volume and vice versa. In other words, as the volume of a human being increases, the surface area of the skin of the human being increases proportionally. This means that as human beings grow naturally, (and healthily), the net amount of heat generated and net amount of heat lost remain relatively proportional to each other. Then there are other, biological factors and processes such as thermoregulation and homeostasis that ensure that the body temperature of a person remains at a safe temperature of approximately 37 degrees Celsius, (98.6 degress Fahrenheit).
If your question is not theoretical, (or hypothetical), then the logic behind the last sentence is also incorrect. If one should ever be able to manipulate a human body in such a way that the "natural cooling rate" of the body is "corrupted," then the person would not just be "severely dehydrated in time," the person would die in a matter of hours, (if not seconds) because biologically speaking, human bodies are comprised of proteins, (i.e. human body parts such as the heart, the brain, etc.), which denature, (are destroyed), at high temperatures, (as well as at excessively low temperatures).
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