Question

If the volume of a cube increases by 77.15%(approx)what is the percentage change in his total surface area​

Answer 1

Answer:

o- and three-dimensional parameters of organisms (i.e., surface area and volume) do not necessarily increase or decrease proportionally to increases or decreases in one-dimensional, or linear, parameters (i.e., length). For example, the greater the diameter of a single-celled organism, the less surface area it has relative to its volume. The surface area to volume ratio is a way of expressing the relationship between these parameters as an organism's size changes.

Importance: Changes in the surface area to volume ratio have important implications for limits or constraints on organism size, and help explain some of the modifications seen in larger-bodied organisms.

Question: How is the surface area to volume ratio calculated, and how exactly does it change with changing size? What modifications do larger organisms exhibit to get around this problem?

Variables:

S surface area (units squared)

V volume (units cubed)

l length (units)

r radius (units)

Methods: For a single-celled organism (or a cell in a multicellular organism's body, for that matter), the surface is a critical interface between the organism/cell and its environment. Exchange of materials often occurs through the process of diffusion, in which dissolved molecules or other particles move from areas of higher concentration to areas of lower concentration (although some exchange is mediated by cellular mechanisms). This type of exchange is a passive process, and as a result imposes constraints upon the size of a single-celled organism or cell. Materials must be able to reach all parts of a cell quickly, and when volume is too large relative to surface area, diffusion cannot occur at sufficiently high rates to ensure this.

We'll begin with a reminder of some basic geometric formulae. The surface area and volume of a cube can be found with the following equations:

and  

where S = surface area (in units squared), V = volume (in units cubed), and l = the length of one side of the cube.

Step-by-step explanation:

Answer 2

Answer:

43.55%

Step-by-step explanation:

let's take %=x

the volume of the cube in beginning 100x

after increase 177.15x

formula= given value/100×%(that we want to find)=result value

now apply

177.15/100×z=77.15

z=43.55%