The Student Room Group
Competition - post a photo you've taken of nature >>
Competition - post a photo you've taken of nature >>
Competition - post a photo you've taken of nature >>

Maths/science question!!!

If the diameter is increased, does the surface area to volume ratio increase or decrease? examples?
Reply 1
Avatar for nerak99
nerak99
13
If you scale up a length, the areas scale as l^2 and the volumes as l^3. Take a 1 cm cube. S.A = 6 and Volume = 1. a:v ratio is 6:1.
Double the size so vol is now 8, S.Area =24 so a:v ratio is now 24:8=3:1

Triple it, Area = 54, Volume = 27 so a:v ratio is now 54:27 = 2:1 so the ratio is decreasing. (v:a is increasing of course)

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you