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What happens to the surface-area-to-volume ratio as the volume of a cube become larger?
Wiki User
∙ 10y ago
No clue... lets find out!
So you have a cube that's 2x2x2
SA= 2x2 + 2x2 + 2x2 + 2x2 + 2x2 + 2x2 = (2x2x6) = 24
Area= 2x2x2 = 2^3 = 8
Ratio= 24:8 = 3:1
Now lets grab a bigger cube of... 7x7x7
SA= 7x7x6 = 294
Area= 7^3 = 343
Ratio= 294:343 = 42:49 = 6:7
So, basically, the only difference between the two formulas is one number.
SA = Side length x Side length x 6
Area= Side length x Side length x Side length
So, as the area increases, so does the surface area but at a slower rate. Meaning the ratio gets smaller.
Wiki User
∙ 10y ago
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