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A shop owner wanted to sell a gold-coloured cube to Mr Lee for $2000. The shop

owner claimed that it was made of pure gold. Mr Lee wanted to investigate whether
the shop owner's claim was true. He measured the length and mass of the cube,
and found that it was 2 cm and 100 g respectively. He also found out that the density
of pure gold is 19.3 g/cm?State whether the shop owner's claim is true. Explain your answer.Is density a useful physical property for identifying an unknown substance? Explain why.

User Li Yupeng
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1 Answer

5 votes

Answer:

shop owner's claim is NOT true

12.5g/cm^3 does not equal density of real gold is 19.3 g/cm^3

Step-by-step explanation:

density of pure gold is 19.3 g/cm^3

length and mass of the cube 2 cm and 100 g

match the units

2 cm to cm^3 = 2^3 = 8 cm^3

8 cm^3

real gold : 19.3 g/cm^3 units are g/cm^3

gold-coloured cube to be sold : 100g/8 cm^3 = 100 divided by 8 =

12.5g/cm^3 does not equal density of real gold is 19.3 g/cm^3

shop owner's claim is NOT true

socraticorg

User Adrodoc
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