Est. 1998 — 27 years of woodworking knowledge
Surin' it's a gud day! Blarney!
I admit I am pressed for time so a stole this problem, AND
I'm mad at the world so here is the trivia...A perfect cube has the volume of 4 3/4 cu. ft. It is made from 3/8 in. thick plywood. How much veneer would be needed to cover the outside of the cube. Assume the veneer to have a thickness of 1/32nd in. Tell us your work!
Re: Surin' it's a gud day! Blarney!
this assumes that the entire cube is assembled with mitred joints.
it also assumes that the veneer is applied before the cube is assembled.
((cube root of 4.75 + .75 + .0625) squared) X 6
answer is in sq inches
It's been a long time since school so I could be as wet as it is here today.
If I followed you correctly
your answer is 33.749386. If that is your answer also it is not correct.
My interpretation
The volume of the cube is 4.75 cuft, not the interior. If that's the case, it's just about 17sf.
Steven
Re: If I followed you correctly
I missed the cu ft I used cu Inches.and contrasting to Steve, I assumed enclosed volume not displaced volume.
John
Perhaps a hint from my view
Figure the volume of the cube. From there the sides in sq. inches.
Re: Perhaps a hint from my view
i blew it. i read sq inches not sq ft.
also assuming interior volume not displaced volume.
(cube root 4.75 = length of one side in ft 1.476
X 12 =length in inches 17.71
+ 3/8 x 2 .75
+ .03125 X 2 .0625
__________________________________________________
18.5225 " per side
squared = 343.08 sq " per side
X 6 sides 2058.5 sq inches
divided by 144 sq inches per side 14.3 sq ft.
You'r all going to be wrong!
Assuming mitered corners.
Cube root of 4.75 is 1.68 rounded to 2 places
1.68 feet is 20.16 inches plus the thickness of the ply = 20.91 the length of one side. 20.91 plus the thickness of the veneer is 20.97
squared is 439.74, the area of one side times 6 is 2638.44 sq inches or 18.32 sq feet.
If not mitered, four 439.75 plus two 434.72 or 18.25 sq feet.
BUT
that does not allow for waste or having to buy in standard sizes and of course, cutting the first set the wrong size :) as the question is:" How much veneer would be needed to cover the outside of the cube". Not, ow much veneer would cover the outside of the cube. So you must know just how much you're going to need, to cut those pieces from. So my answer would be a piece of veneer 2 feet wide and 12 feet long. My quick check showed a 2 x 12 roll available. However I can't afford it so I decided to cover the cube in muslin and do a faux woodgrain finish with paint and stain. So the final answer would be, I would need no veneer to cover the cube!
Bill, waiting for it to rain on the Oregon Coast
I know how to calculate area and volume
but what is 4.75 ft^3?
The interior of the plywood cube?
The total displacement of the cube itself?
The answer matters...
I answered as if the cube itself was 1.68 ft on each exterior surface edge. I didn't bother to adjust for the thickness, since wood will move more than that and it's not sold in 1/32" increments. To be 100% accurate, you'd need to define tolerances.
Steven
Bill, Bill, slow down.
Bill, OK a star is yours--wood, glass, veneer, muslin, whatever. I'll slink back to be more accurate with my words. In the mean time you are correct. Well done. Congrats.
My answer me lads.
This is a solution. We ain�t going to Mars here so I�ll count anything near 2,626 � 2,640 sq. inches. Or in my particular case at least 6,000 sq inches (backup wood for my skill level!) I started out today grumpy and it didn�t get much better, so here�s what I worked out.
The 4 3/4 cubic ft. volume is equal to 8208 cubic inches: 4.75 x 12 x 12 x 12 = 8208
The sides of the cube are 20.17185". This is the base measurement (not the measurement of the base)
The height of all sides is 20.92185" which is the base measurement plus 3/8' twice.
The width of two sides is 20.92185" which is the base measurement plus 3/8' twice.
The width of the other two sides is 20.98435" which is the base measurement plus 3/8' twice plus the veneer thickness of 1/32' twice.
The top and bottom are 20.98435" X 20.98435" which is the base measurement plus 3/8' twice plus the veneer thickness of 1/32' twice.
First sides - 20.92185" X 20.92185" = 437.7239 X 2 = 875.4478 sq in
Second sides - 20.92185" X 20.98435" = 439.0315 X 2 = 878.0630 sq in
Top and bottom - 20.98435" X 20.98435" = 440.343 X 2 = 880.6861 sq in
Total is 2634.197 sq in
Or as another opined via his Ti-83 hand held calculator in about thirty seconds over lunch (this time using miters) (as I watched with my mouth open) as I wrote it down. (Never did like that guy.)
Cube root (1.68), multiply by 12, add 3/4, square the result, multiply by six = 2,626.343457
Laughing
Gary, I wasn't chiding you about your wordage, rather I thought that the math solution was so easy that I had to look for a deeper level of problem.
BTW I did all the math in Google's quiry window. It's interesting the power that is there.
Bill who is back to making his corned beef and soda bread for dinner