How do you compare this using ratios?

consider a simple square with side length x, and a larger square with side length 3x ...
what is the ratio of their areas?

now, consider two cubes with the same edge lengths as given above ...
what is the ratio of their volumes?
 
What is the formula for the volume of a parallelepiped. You can't do your problem w/o that formula.
 
What is the formula for the volume of a parallelepiped. You can't do your problem w/o that formula.

Specific formulas are not necessary to determine the ratios of surface area and volume between two similar solids.

a linear dimensión ratio of [math]1:3 \implies[/MATH] an area ratio of [MATH]1:3^2[/MATH] and a volume ratio of [MATH]1:3^3[/MATH]
 
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