A shop owner wanted to sell a gold-colored cube to Mr. Lee for $2000. The 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/cm³.
(i) Calculate the density of the gold-colored cube.
(ii) State whether the shop owner's claim is true. Explain your answer.
A) 19.3 g/cm³; The shop owner's claim is true because the calculated density matches that of pure gold.
B) 10.0 g/cm³; The shop owner's claim is false because the calculated density does not match that of pure gold.
C) 38.6 g/cm³; The shop owner's claim is true because the calculated density is double that of pure gold.
D) 9.65 g/cm³; The shop owner's claim is false because the calculated density is lower than that of pure gold.