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Dimensions - Part

 
 
Reply Tue 6 Jan, 2015 10:30 pm
A block of wood, with all dimensions being 1 yard, is sawn vertically through the middle from front to back, vertically through the middle from right to left, and horizontally through the middle.

Calculate dimensions of one of the parts.

What is known :

A block of wood has all dimensions being 1 yard.

The wood is sawn vertically through the middle from front to back.
The wood is sawn vertically through the middle from right to left.
The wood is sawn horizontally through the middle.

Want to know:

Dimensions of one of the parts.

How do I solve ?




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Type: Question • Score: 0 • Views: 644 • Replies: 9
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ekename
 
  1  
Reply Thu 8 Jan, 2015 01:46 am
@Randy Dandy,
Quote:
A block of wood, with all dimensions being 1 yard, is sawn vertically through the middle from front to back, vertically through the middle from right to left, and horizontally through the middle.

Calculate dimensions of one of the parts.


Quote:
What is known :

A block of wood has all dimensions being 1 yard.

The wood is sawn vertically through the middle from front to back.
The wood is sawn vertically through the middle from right to left.
The wood is sawn horizontally through the middle.

Want to know:

Dimensions of one of the parts.

How do I solve ?



What is unknown.


When is the wood sawn horizontally through the middle and is it sawn from left to right or right to left through the middle and when you say the middle what is the measurement from the edge to the middles?
Randy Dandy
 
  1  
Reply Thu 8 Jan, 2015 09:57 am
@ekename,
The wood is 1 yard = 3 feet= 36 inches, in length, width, and thickness.

The wood is sawn through the middle each time.

First part - 18 inches, 18 inches, 18 inches.

Second part - 9 in., 9 in., 9 in.

Third part - 4.5 in., 4. 5 in., 4.5 in.

??
0 Replies
 
timur
 
  1  
Reply Fri 9 Jan, 2015 06:59 am
Randy wrote:
The wood is sawn vertically through the middle from front to back.


http://i60.tinypic.com/2yz0ydg.jpg

Randy wrote:
First part - 18 inches, 18 inches, 18 inches.

Can you see where you are wrong?
Randy Dandy
 
  1  
Reply Fri 9 Jan, 2015 05:52 pm
@timur,
No, I don't see it.
ekename
 
  1  
Reply Fri 9 Jan, 2015 11:17 pm
@Randy Dandy,


Can you post a link to where you found the question?
Randy Dandy
 
  1  
Reply Sat 10 Jan, 2015 10:33 am
@ekename,
I will attempt to locate the problem again and post the link.
Randy Dandy
 
  1  
Reply Sat 10 Jan, 2015 06:17 pm
@Randy Dandy,
I can't seem to relocate the problem.
0 Replies
 
ekename
 
  1  
Reply Sat 10 Jan, 2015 08:26 pm
@Randy Dandy,
https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcRfNZ9kXTruVau7bvQdj5b7ThMr7v1juK6lPRImfGuMuI5nMiywXw

The block of wood before it is cut is the pink picture.
After it is cut 3 times (twice through the middle vertically and once horizontally) it becomes the 8 smaller cubes.
The length of every dimension of the 8 smaller cubes is equal to one half of one yard.

http://mathworld.wolfram.com/CubeDissection.html

Lonke (2000) has considered the number f(j,k,n) of j-dimensional faces of a random k-dimensional central section of the n-cube B_infty^n=[-1,1]^n, and gives the special result
http://mathworld.wolfram.com/images/equations/CubeDissection/NumberedEquation1.gif
(8)
where gamma_(n-k) is the (n-k)-dimensional Gaussian probability measure.
Randy Dandy
 
  1  
Reply Wed 14 Jan, 2015 01:36 pm
@ekename,
I understand your explanation.

I don't understand the section from "Mathworld".
0 Replies
 
 

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