SOLUTION: The contents of a one 40.0 pound bag of topsoil will cover 10.0 square feet of ground to a depth of 1.0 inch. How many bags of topsoil are required to cover a plot that measures 20

Algebra ->  Customizable Word Problem Solvers  -> Unit conversion -> SOLUTION: The contents of a one 40.0 pound bag of topsoil will cover 10.0 square feet of ground to a depth of 1.0 inch. How many bags of topsoil are required to cover a plot that measures 20      Log On

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Question 900473: The contents of a one 40.0 pound bag of topsoil will cover 10.0 square feet of ground to a depth of 1.0 inch. How many bags of topsoil are required to cover a plot that measures 200.0 meters to a depth of 4.00 cm?
Can you please show me how you go the answer?

Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
Density would help.
The forty pound bag delivers a volume of 10%281%2F12%29=5%2F6 cubic feet of soil.
You can use the density as 40%2F%285%2F6%29=240%2F5=highlight_green%2848%29 pounds per cubic foot.

The description for the question part is missing a word, believed to be "cubic".
You must mean, how many bags to fill 200 CUBIC meters by 4 centimeters. You must do some
unit conversions.


highlight_green%28%28200%2A0.04%2A10%5E6%29%2F%28%282.54%29%5E3%2A12%5E3%29%29 highlight_green%28feet%5E3%29

What you really need to use now is just this:

That is 282.5 cubic feet, allowing for four significant figures (probably more than justifiable).

Again, 1 bag of topsoil is 5%2F6 cubic feet. How many 5%2F6 cubic feet contained in 282.5 cubic feet?
That is how many bags of the topsoil.
282.5%2F%285%2F6%29
6%28282.5%29%2F5
highlight%28339%29 bags


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When you know the part of the question that is missing, you should be able to make the needed changes in the solution process.