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the production of heat by metabolic processes takes place throughout the volume of an animal, but loss of heat takes place only at the surface (i.e. the skin). since heat loss must be balanced by heat production if an animal is to maintain a constant internal temperature, the relationship between surface area and volume is relevant for physiology.

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We will use the ideas of the change in length in proportion to the area and volume to solve this problem. In order to extrapolate these measurements to the area and volume, we shall first define the states of the lengths in their final and initial stages.

the preliminary steps,

First Length = L

Surface initial = 6 L2 (surface of a cube)

preliminary volume = L3

the decisive actions

Lf = final length

6L2f is the final surface area.

volume at the end = L3f

given,

SA(i)f/SA(i) = 2

By using the same relation right now, we have that

(Lf/Li)2 = 2

Lf/Li =

The relationship between volume and

(Lf/Li)3 = (volume)f/(volume)i

Volume (f)/Volume I =)3

Volume (f)/Volume I = 2)3

Volume ratio (f/i) = 2.83

The cube's volume changes by a factor of 2.83.

Learn more about volume here:

https://brainly.com/question/1578538

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