Filling a Garden with TopsoilDate: 2/5/96 at 16:30:8 From: Anonymous Subject: Math Problem I have a garden that is 10' x 10' (100 square feet). I want to add 6" of topsoil to my garden. Topsoil is sold by the cubic yard. How many cubic yards of topsoil will I need for my project? Please give me the formula to figure this. Thanks Date: 2/5/96 at 19:53:7 From: Doctor Ken Subject: Re: Math Problem Hello! The fact that will probably help you most is this: there are 9 square feet in every square yard, and 27 cubic feet in every cubic yard. To see why this is so, look at the following picture: 1 ********************************** * * * * f * * * * o * * * * o * * * * t * * * * ********************************** 1 * * * * f * * * * o * * * * o * * * * t * * * * ********************************** 1 * * * * * * * * f * * * * o * * * * o * * * * t ********************************** 1 foot 1 foot 1 foot O N E Y A R D The big square is one yard on a side, and there are nine little squares inside it, each of which is one square foot. So there are nine square feet in one square yard. If you built a cube that was 1 yard on each edge, you'd see that you could cut it up into 27 (which is 3 cubed) smaller squares, each of which measured 1 foot on each side. -Doctor Ken, The Math Forum Date: 2/6/96 at 11:20:11 From: Anonymous Subject: Re: Math Problem Thanks for your response to my question. What I need to know is how to convert the area measurement (square yards) to the volume measurement (cubic yards) using the above example. (11.12 square yards to cover with 6" of topsoil would take how many cubic yards?) Thanks Date: 2/6/96 at 14:40:59 From: Doctor Ken Subject: Re: Math Problem Hello! Okay, thanks for the clarification. The way you get volume units of anything is to multiply Length x Width x Height, making sure that you're in the same units with all three dimensions. So when you have 100 square feet of surface area and you are going to cover it with 6 inches (that's .5 feet) of topsoil, that amounts to 100 x .5 = 50 cubic feet of topsoil. You can then divide by 27 to get the cubic yardage. -Doctor Ken, The Math Forum |
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