SOLUTION: An inch of snow on an acre of land would produce x gallons of water. Determine amt. An acre = 43560 sq. ft. An inch of snow = 10 in. of rain. Volume = length * width * hei

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Question 1152068: An inch of snow on an acre of land would produce x gallons of water. Determine amt.
An acre = 43560 sq. ft.
An inch of snow = 10 in. of rain.
Volume = length * width * height.

Not sure how to solve.

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
i think the ratio is 1 inch of rain is equal to 10 inches of snow.
here's a reference from the web:

The baseline ratio of rain to snow is 1 inch of rain equals 10 inches of snow. For example, to calculate the snowfall equivalent of 3 inches of rain, multiply 3 by 10 to obtain 30 inches of snow as the baseline conversion.

taking that into consideration, you get:

if 1 inch of rain is equal to 10 inches of snow, then:
10 inches of snow is equal to 1 inch of rain.
divide both sides of that equation by 10 and you get:
1 inch of snow is equal to 1/10 inches of rain.

with this in mind, you would have to change your problem to something like this.

An inch of snow on an acre of land would produce x gallons of water. Determine amt.
An acre = 43560 sq. ft.
An inch of snow = 1/10 of an inch of rain.
Volume = length * width * height.

assuming this is what you meant, then:
an acre = 43560 square feet.
that's equivalent to 43560 * 144 = 6272640 square inches.
this would be the base of the volume of water.
the height of the water would be 1/10 of an inch high, therefore the volume of water would be 6272640 * 1/10 = 627264 cubic inches of water.
there are 231 cubic inches in a gallon, therefore the amount of water would be equal to 627264 / 231 = 2715.428571 gallons of water.

that's what i think.
check it out and see if you agree.
if that's not what you meant, then please change the problem to what you meant.
in either case, the baseline ratio of rain to snow is accurate according to information i found on the web.
keep in mind that baseline is kind of like an average type figure.
the actual ratio is dependent on many factors, like the type of snow, the weather when the snow falls, the type of rain, etc.
since you had the ratio of 10 to 1, only reversed, then i think the baseline would work for you when you reverse it.

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