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as the cubes increased in size, describe what happened to the surface area to volume ratio. explain mathematically why this happened in terms of the formula for each.

Sagot :

As the cube size increases, the surface -area - to - volume ratio decreases .

Given :

as the cubes increased in size, describe what happened to the surface area to volume ratio, mathematically why this happened in terms of the formula for each.

Volume :

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Volume of cube = a^3

Surface area :

Surface area is the amount of space covering the outside of a three - dimensional shape.

Surface area of cube = 6a^2

suppose side length = 1

1^3 : 6 * 1^2

= 6 * 1 : 1

= 6 : 1

Learn more about the volume here:

https://brainly.com/question/13338592

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