Asked by vincent
Number of cubic inches in volume of cube, Number of square inches in surface area of cube. which one is greater or equal?
Answers
Answered by
Anonymous
Side length =L, Vol=L^3, SA=6L^2
If L^3=6L^2 then L=6, that is for 6 inch cube, cubic in will be equal to sq inches. If side is L+a, then say
(L+a)^3>6(L+a)^2 or L+a>6 or L>6-a. At a=0 it confirms the first result L=6; for all positive values of a, vol will be>SA, that is cubic inches will be more than sq in.
If L^3=6L^2 then L=6, that is for 6 inch cube, cubic in will be equal to sq inches. If side is L+a, then say
(L+a)^3>6(L+a)^2 or L+a>6 or L>6-a. At a=0 it confirms the first result L=6; for all positive values of a, vol will be>SA, that is cubic inches will be more than sq in.
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