SOLUTION: Gold has a density of 19 320kg/m3. A salesman wants to sell you a metallic cube that weighs 500 grams, with side lengths of 3cm, for $80, which he claims is solid gold. Investiga

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Gold has a density of 19 320kg/m3. A salesman wants to sell you a metallic cube that weighs 500 grams, with side lengths of 3cm, for $80, which he claims is solid gold. Investiga      Log On

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Question 1033394: Gold has a density of 19 320kg/m3. A salesman wants to sell you a metallic cube that weighs 500 grams, with side lengths of 3cm, for $80, which he claims is solid gold. Investigate whether you believe this item to be solid gold or another metal and justify your choice with clear mathematical working and explanations.
Answer by ikleyn(52800) About Me  (Show Source):
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Gold has a density of 19320 kg/m3. A salesman wants to sell you a metallic cube that weighs 500 grams,
with side lengths of 3cm, for $80, which he claims is solid gold. Investigate whether you believe this item
to be solid gold or another metal and justify your choice with clear mathematical working and explanations.
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The volume of the cube is 3%5E3 = 27 cm%5E3.

The density of the sample is 500%2F27 = 18.51852 g%2Fcm%5E3.

Compare it with the standard density of the gold 19320 kg%2Fm%5E3, which is the same as 19.32 g%2Fcm%5E3. 

Now make your conclusion.