SOLUTION: A pool with a volume of 1000 gallons requires a cover that is 250 sq. ft. What size cover is appropriate for a similarly-shaped pool that holds 3375 gallons?

Question 1065354: A pool with a volume of 1000 gallons requires a cover that is 250 sq. ft. What size cover is appropriate for a similarly-shaped pool that holds 3375 gallons?
Found 2 solutions by KMST, josmiceli:
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
When you "scale up" (or down) a shape,
to a similar shape where all dimension measurements
are changes by a factor ,
the length ratio is for all lengths,
the surface area ratio is for al surfaces,
and the volume ratio is for the one and only volume.
In this case,
,
so and .
Applying that factor to 250 square feet,
we find the size (in square feet) of the larger pool to be

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I think the covers would be p[roportional to
the squares of cube roots of the volumes of the pools
Since gallons are a measure of volume, I
think this will give a ratio of areas:

The cover for the 3375 gal pool would be 562.5 ft2
---------------------
DEFINITELY get another opinion on this.
I am pretty much winging it.

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