Math Problem - REFRAISED!?

Question

I am building a riding ring for my horse...its 100 feet by 60 feet. I need to fill it with sand, and there are about 18 yards of sand per load, I need to know how many loads I will need.

Answer 1

It depends on how deep you want the sand to be. If you want the sand to be 1 foot deep you will need 6,000 cubic feet of sand.

If you want 6 inches in depth of Sand you will need 3,000 cubic feet of sand.

If you want 18 inches of sand you will need 9,000 cubic feet of sand.

If you want 2 feet of sand (why I can not guess) you will need 12,000 cubic feet of sand.

If you need only 4 inches of sand, ( you really probably want more than that) then you will need 2,000 cubic feet of sand.

(Changed math due to significant stupid move on my part. Sorry. Please read appropriate math with accorded changes. Sooo sorry. It significantly changes the answer. I should have caught the problem myself.)

18 cubic yards of sand is 54' X 3' X 3' which equals 486 cubic feet of sand.

For 2 feet depth you will need about 25 loads.

For 18 inches depth you will need about 18 loads.

For 1 foot of depth you will need about 13 loads.

For 6 inches of depth you will need about 8 loads.

For 4 inches of depth you will need about 5 loads.

I hope this is helpful

Answer 2

Alright, between this and the last question, you got most of the basics in the answers.

First, if the area were square, it would be 6,000 square feet. A ring's not likely to be square though, so likely you will have less square feet. How much less? That's hard to say. I picture an ellipse that is something like this: rounded ends that, if put together would be a sort-of-circle with a diameter of 60 feet and a roughly square area in between them that is about 40 feet by 60 feet. That would come to a bit over 5,200 square feet. Does the description sound reasonable?

Second, an 18 cubic yard load is a LOT of cubic feet. If you think in terms of "18" rather than converting, you are thinking in terms of having the sand a yard deep!!! So let's see what it is in cubic feet. There are 3 feet in a yard, so a cube 3 feet on a side is 27 cubic feet. Times the 18 cubic yards, we get 486 cubic feet. That still leaves you thinking of sand a foot deep. I'm guessing the usual approach is no more than 6 inches, and maybe only 4 inches. Let's go with 6 inches deep though 'cause you love your horses and so on. That's 972 square feet one load can cover to a depth of 6 inches.

Put those together and you have a bit over 5,200 divided by 972 and it looks like a bit more than 5 loads is needed. Or one could do as the previous answerer suggested and just go a wee bit less deep. Like 5 and 7/8ths inches. By the way, going with 4 inches depth would require about 4 loads and be more like 5-ish inches deep.

Honestly, unless you know the standard depth for horse rings, I'd go with the 4 loads and add one more later if you find you need it deeper. Or two more later. You will have to re-spread it all the time anyway (raking, raking, o'er the bounding grains, for many a... nah, that was sailing, not raking) so spreading out the extra load/s will be no big deal and if the loads cost a pretty penny, it might be cash well saved for other things.

Like carrots and apples.

Answer 3

assuming the ring is rectangular from the way you give the dimensions, its area is

100 feet x 60 feet = 6000 sqr feet

Also assuming the 18 yards of sand is
18 square yards, you need to convert them
to square feet:

1 sqr yard = 9 sqr feet (that's 3 feet, squared)

so 18 sqr yards (9sqr feet/sqr yard) = 162 sqr feet per load.

then the number of loads you'll need is

6000 sqr feet/162 sqr feet = 37.03 loads

forget the .03 extra, just spread the sand a little more. You need 37 loads. Hope you've got some energy.

However if it's 18 cubic yards per load, you'll need to figure out just how thin your going to spread the sand, and then how much area a cubic yard will cover.

Answer 4

Same numbers as before. In whole loads, 37 won't be enough, so order 38.

Except, in RL, contractors talk in terms of CUBIC yards, so how deep do you want the sand to be?

Found this online.

http://www.pioneersand.com/coverage_chart.htm

Is this a RL question, or an aceademicians busywork?

Answer 5

How deep do you want the sand to be in the ring?

Answer 6

how about respelling
not enough info given
given area but what depth of sand do you want

Answer 7

I am getting at least 37 loads. But I don't think that includes depth. Wait until someone else answers (duh), but thats my guestimation.

Answer 8

Could you please rephrase the "refraised" word?