體積變表面積

2014-02-08 9:51 am
volume ^ 2/3 = surface area ? why ge

回答 (1)

2014-02-08 6:32 pm
✔ 最佳答案
For similar figures,
A1/A2 = (L1/L2)^2 ............... (1) and
V1/V2 = (L1/L2)^3 ..................(2)
From (1)
(A1/A2)^3 = (L1/L2)^6
From (2)
(V1/V2)^2 = (L1/L2)^6
That means
(A1/A2)^3 = (V1/V2)^2
so A1/A2 = (V1/V2)^(2/3)


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