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October 7th, 2012, 05:17 AM  #1 
Member Joined: Sep 2012 From: Norway Posts: 35 Thanks: 0  How do I find out how much metal the container consists of?
Hello, so I am stuck with a volume problem. A closed container which is shaped like a rectangular prism has the following measurments; Inside the container; 5,05 m x 2.45 m x 2.75 m Outside; 5.10 m x 2.50 m x 2.80 m Firstly, I had to find out how wide the walls of the container are and I did so by doing the following; 5/2 = 2.5  I divided 5 by two because the the length and width on the inside of the container vs. length and width on the outside each equal 5 cm difference. I therefore divided it by two since we are talking about two sides. Know, I know I got the right answer, but is my way of thinking correct? Secondly, I was asked to find how much metal the container is built of. I thought they are asking about the perimeter, but I guess I'm wrong since I worked out the perimeter for the outerside of the container and got 83.2 m^3. The correct answer is 1.7 m^3. Could someone help me understand what method I am supposed to use/what they are asking for in mathematical terms? 
October 7th, 2012, 07:19 AM  #2  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: How do I find out how much metal the container consists Hello, mathismydoom! Quote:
You said you were stuck with a "volume problem". So why aren't you working with volumes?  
October 8th, 2012, 12:21 AM  #3  
Member Joined: Sep 2012 From: Norway Posts: 35 Thanks: 0  Re: How do I find out how much metal the container consists Quote:
I just have one more question which is what is the explanation as to why I have to find the volume for the inner and outer space in order to find out how much metal it consists of?  
October 8th, 2012, 12:28 AM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 466 Math Focus: Calculus/ODEs  Re: How do I find out how much metal the container consists
The volume of the metal is the difference between the outer and inner volumes.

October 11th, 2012, 02:51 AM  #5  
Member Joined: Sep 2012 From: Norway Posts: 35 Thanks: 0  Re: How do I find out how much metal the container consists Quote:
 
October 11th, 2012, 03:27 AM  #6 
Global Moderator Joined: Dec 2006 Posts: 18,852 Thanks: 1570 
For a closed container (that has an empty interior), its overall (or "outer") volume comprises the volume of the material the container is made of and the volume of the empty interior of the container (its "inner" volume).


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