Unknown metal

The prism made of unknown metal has dimensions of 3 cm by 3 cm by 5 cm and a weight of 121 g. What metal is it? Write its chemical symbol.

Result

x = (Correct answer is: P)

Step-by-step explanation:

$$\begin{gathered} a=3\text{ cm } \\ b=3\text{ cm } \\ c=5\text{ cm } \\ m=121\text{ g } \\ V=a\cdot b\cdot c=3\cdot 3\cdot 5=45{\text{cm}}^3 \\ m=\rho \cdot V \\ \rho =m\mathrm{/}V=121\mathrm{/}45={\displaystyle \frac{121}{45}}=2\frac{31}{45}\doteq 2.6889{\text{g/cm}}^3 \\ Phosphorus \\ x=P \end{gathered}$$

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