Gold Coke Cans
Question One: The density of gold is $19.32 g/cm^{3}. What is the weight of a Coke can that is
made entirely of gold?
We know from Coke Can Problem Two that the volume of the
material in the Coke Can is 5 cm^{3}
The density of gold is 19.32 g/cm3 so the mass of the gold
can is 5.0 x 19.32 or 96.6 grams.
There is a second way to get this answer. Observe the ratio of the density of gold to
the density of aluminum is (19.32/2.8).
The mass of an aluminum can is 14 grams.
Multiply (19.32/2.8) by 14 to get 96.6.
Question Two: What is the weight of a solid gold bar shaped
like a Coke can?
We know from Coke Can Math Problem 3 that the volume of the
entire can is 392.5 cm^{3}.
Multiply by the density of 19.32 g/cm3 to get a mass of 392.5 x 19.32 or
7583.1 grams.
Question Three: What is the value of the empty gold Coke can
and the solid gold Coke can if the price of gold is $1,284 per ounce?
There are 28.35 grams in one ounce. This
means that one gram of gold costs $1,284/28.35 or $45.29.
There are 96.6 grams in an empty gold coke can. The value of the empty can is 96.6 x 45.29
or $4,375.
There are 7583.1 grams in the solid gold coke can so the
value of the coke can is 45.29 x 7583.1 or $343,466.
Summary of Solid Gold
Coke Can Transaction


cm

392.5

grams/cm3

19.32

grams

7583.1

$/gram

45.29

$

$343,439

This seems really
high. Please verify.
For more coke can math problems see link below.
http://fractiontips.blogspot.com/2014/04/cokecanmath.html
For more coke can math problems see link below.
http://fractiontips.blogspot.com/2014/04/cokecanmath.html
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