SOLUTION: If the area of cube a is 6 and the area of cube b is 8 how many times bigger is cube b than cube a?

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Question 984218: If the area of cube a is 6 and the area of cube b is 8 how many times bigger is cube b than cube a?
Found 3 solutions by macston, josgarithmetic, Alan3354:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
A cube has 6 sides, so area of 1 face=1/6 surface area (SA) of cube.
The length of one edge=square root of area of 1 face=sqrt%28%28SA%29%2F6%29
.
For cube with SA=6:
edge=sqrt%286%2F6%29=sqrt%281%29=1unit
Volume=(edge)^3=(1)^3=1 cubic unit
.
For cube with SA=8:
edge=sqrt%288%2F6%29=1.15units
Volume=(edge)^3=(1.15)^3=1.54 cubic units
.
Size difference depends on whether you are talking edge length or volume.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You might want to compare their volumes.

a:
Area is 6.
x%5E2%2A3=6
x=sqrt%282%29

b:
Area is 8.
3y%5E2=8
y=sqrt%288%2F3%29
y=%282%2F3%29sqrt%286%29

Question now means, compare y^3 to x^3, as the ratio.
%28%282%2F3%29sqrt%286%29%29%5E3%2F%28sqrt%282%29%29%5E3

%28%284%2F9%29sqrt%282%29%5E3%2Asqrt%283%29%5E3%29%2F%28sqrt%282%29%29%5E3

%284%28sqrt%283%29%29%5E3%29%2F9

%284%2A3sqrt%283%29%29%2F%283%2A3%29

highlight%284sqrt%283%29%2F3%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You have to define bigger.
===================
Is it edge length?
Surface area?
Volume?