How much space does a Pound of copper use

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Discussion Overview

The discussion centers on the volume occupied by one pound of copper compared to one pound of silver, focusing on their respective densities and the implications for volume measurement. Participants explore the relationship between weight and volume, particularly in the context of Archimedean principles and unit conversions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose calculating the volume of copper and silver based on their densities, suggesting that the ratio of densities (8.95 for copper and 10.4 for silver) could indicate the relative volumes occupied.
  • One participant mentions a practical experiment involving water displacement to measure the volume difference between the two metals, estimating a difference of three to four nickels in volume.
  • Another participant suggests using kilograms instead of pounds for clarity, noting the confusion that arises from different weight systems (Troy for silver and Avoirdupois for copper).
  • One participant provides calculations indicating that one pound of silver occupies 1.47 ounces of space while one pound of copper occupies 1.74 ounces, though the accuracy of these calculations is not confirmed.
  • A participant raises a question about the assumptions made regarding weight systems, specifically whether Troy weight is assumed for silver.
  • Another participant comments on the complexities of the imperial system and its conversion factors, hinting at the challenges in understanding these measurements.
  • One participant concludes with a calculation indicating that one pound of silver would require a specific cylindrical volume, while copper would require more space due to its lower density.

Areas of Agreement / Disagreement

Participants express differing views on the appropriate measurement systems and the calculations involved. There is no consensus on the accuracy of the volume calculations or the implications of using different weight systems.

Contextual Notes

Limitations include potential confusion arising from the use of different weight systems (Troy vs. Avoirdupois) and the assumptions underlying the calculations presented. The discussion also reflects varying levels of familiarity with metric versus imperial units.

John1397
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I am trying to figure out if you have one pound of copper density 8.95 and if you have a pound of silver density 10.4 how much space each will take or how much more space the copper will take this can be ounce's or whatever metric measurement they use for volume
as I put a pound of copper in water then took out the copper and put a pound of silver in the water and I came up with about three to four nickels (5 cents) worth of volume difference and I was going to figure out if this is about the right amount of volume? Will 8.95 divided by 10.4
which is .86 be an indicator as if you had a cubic foot of copper that with silver it would only be .86th of a cubic foot of silver or does it not work that way?

John
 
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John1397 said:
I am trying to figure out if you have one pound of copper density 8.95 and if you have a pound of silver density 10.4 how much space each will take or how much more space the copper will take this can be ounce's or whatever metric measurement they use for volume
as I put a pound of copper in water then took out the copper and put a pound of silver in the water and I came up with about three to four nickels (5 cents) worth of volume difference and I was going to figure out if this is about the right amount of volume? Will 8.95 divided by 10.4
which is .86 be an indicator as if you had a cubic foot of copper that with silver it would only be .86th of a cubic foot of silver or does it not work that way?

John
You have the right idea.
 
Best not to work in pounds, but refer to kilogrammes.

A pound of copper is heavier than a pound of silver.

Confusing, huh!?

A pound of silver = 373.24 g
A pound of copper = 453.59 g
 
I kinda worked it out starting with the weight of a pound of copper and silver in one cubic foot then taking 7.48 gallons in a cubic foot times 128 ounces in gallon and I come up with 1 pound of silver taking up 1.47 ounces of space and for copper taking up 1.74 ounces of space, if you could physically pour copper and silver I hope this is right.

John
 
cmb said:
Best not to work in pounds, but refer to kilogrammes.

A pound of copper is heavier than a pound of silver.

Confusing, huh!?

A pound of silver = 373.24 g
A pound of copper = 453.59 g

Where did you get this idea? Are you assuming Troy weight for silver and Avoirdupois for copper?
 
I am trying to figure how much the thickness of 1 pound of silver would be in 3.5" diameter the formula goes as follows:

diameter 3.50"
radius 1.75"
X
radius 1.75"
X
pie 3.14
=
sq. Inches 9.6162

cubic inches
in sq. foot 1728

divided by 9.66162
=
179.6938 < cylinder 3.5" diameter should be this many inches long

Pound of silver
per cu. foot 660

divided by 179.6938
=
per inch 3.6729 pounds

divided by 4
=
per quarter in. .918225 pounds

Here is my problem as I know that 3.5 inch diameter 1/4 inch weighs .918225 pounds
how much thickness in decimal format is needed to make 1 pound?

John
 
mathman said:
Where did you get this idea? Are you assuming Troy weight for silver and Avoirdupois for copper?
Of course. What other measurement system would you use for silver with 'pounds' in it, other than Troy?
 
cmb said:
Of course. What other measurement system would you use for silver with 'pounds' in it, other than Troy?

I suspect that the original question assumed the same unit of weight for both copper and silver.
 
The OP seems to revolve around Archimede's principle; a fine idea.
Most of the replies show how the imperial/american system of units revolve around lots of awful conversion factors; a terrible fact.
(Please, consider this reply as a tongue in cheek comment)
 
  • #10
I seem to finally figured it out as 1 pound of silver would need a space of 3.5" dia. X .272" lg.
1 pound of copper would need a greater space as density is less. I always use inches as I do not no the metric system that well and the result is always the same anyway.

John
 

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