WWA Info Exchange

...3/4in thick and exactly 8 x 4ft. How many Cubes that have an internal dimension of 6 x 6 x 6 inches can be made from a full sheet after removing a circular piece that leaves a 24 inch diameter hole? All joints are mitred.

Ralph

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Hey Ralph,

Just so that we're all on the same page here, what's the kerf allowance?

Tom

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Sorry, I should have included that - Lets say 1/8 inch...

Ralph

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our other interests:
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Hey Ralph,

So here we go...


That's 6" squares arrayed 7 x 15 with an 1/8" kerf. This means that complementary miters are on all sides, so you have do some flipping. It may not actually be necessary, but I wanted to make sure leave the largest possible waste pieces, just to make sure. The 3/4" boarder is to account for the miter hypotenuse (you did say inside dimension).

The hole placement takes advantage of the corner waste and leaves a perimeter (presuming that you can't have a hole intersecting the edge, and still call it a hole).

So, given six sides to a cube, that's
((15 x 7) - 15) 6 = 15 boxes

Tom

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"There is no path to peace, peace is the path."
Mohandas K. Ghandi

Toms calculations look good to me!
Thanks Tom, a picture is worth a thousand words.

Rog

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I get 11.
Minus 1 for mistakes makes it an even 10.

I get 63 full size squares with 45 degree edge all four sides. Six sides to a cube that gives 10 full boxes with three sides to throw at the moderator when he says I'm wrong.

Just kidding, Ralph. I'll send you a 3D rendered CAD image to prove it, though.

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Cheers - Dennis

Ten boxes.

Each box is 7.5" on a side to get the 6" internal dimension

The sides are sparated by a 1/8" kerf

72 sides minus the nine obliterated by the hole yields 63 usable sides

Using six sides for each box yields ten boxes with three sides left over.

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Winston (WWAIDAUX #2)

Ahw Winston,

Ya beat me to it.
I was just ready to post a correction of last night's effort, only to find you'd beaten me to the punch.
Here's my bit, essentially the same as yours.

((6 x 12) - 9 = 10.5 So, ten boxes.

Tom

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"There is no path to peace, peace is the path."
Mohandas K. Ghandi

Dennis was the first with the correct answer so the soggy point, with a 45º chamfer, goes to him.

Many thanks to Tom and Winston for the diagrams...

Ralph

_________________
...Did I mention it rains here?

our other interests:
http://ralphsworkshop.blogspot.com/
http://notinmyfridge.blogspot.co.uk
https://my-meccano.blogspot.co.uk

For some reason I couldn't get this image to appear in an edited version of my first post.



See ""

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Nullum Gratuitum Prandium

Cheers - Dennis