We are asked to determine the likely identity of the metal.

Calculate volume in cm^{3}

$\overline{){\mathbf{V}}{\mathbf{}}{\mathbf{=}}{{\mathbf{s}}}^{{\mathbf{3}}}}\phantom{\rule{0ex}{0ex}}\mathbf{V}\mathbf{}\mathbf{=}\mathbf{}{(11.4\overline{)\mathrm{mm}})}^{\mathbf{3}}\mathbf{\times}{\left(\frac{1\mathrm{cm}}{10\overline{)\mathrm{mm}}}\right)}^{\mathbf{3}}\phantom{\rule{0ex}{0ex}}\mathbf{V}\mathbf{}\mathbf{=}\mathbf{}{\mathbf{(}\mathbf{11}\mathbf{.}\mathbf{4}\mathbf{}\overline{)\mathbf{mm}}\mathbf{)}}^{\mathbf{3}}\mathbf{\times}{\mathbf{\left(}\frac{\mathbf{1}\mathbf{cm}}{\mathbf{10}\mathbf{}\overline{)\mathbf{mm}}}\mathbf{\right)}}^{\mathbf{3}}$

**V= 1.48 cm**^{3}

A metal cube has an edge length of 11.4 mm and a mass of 6.67 g .

Density of Common Substancesat 20 ^{o}C | |

Substance | Density(g/cm ^{3}) |

Charcoal (from oak) | 0.57 |

Ethanol | 0.789 |

Ice | 0.917 (at 0^{o}C) |

Water | 1.00 (at 0^{o}C) |

Sugar (sucrose) | 1.58 |

Table salt (sodium chloride) | 2.16 |

Glass | 2.6 |

Aluminum | 2.70 |

Titanium | 4.51 |

Iron | 7.86 |

Copper | 8.96 |

Lead | 11.4 |

Mercury | 13.55 |

Gold | 19.3 |

Platinum | 21.4 |

Refer to the table to determine the likely identity of the metal.

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