Magnitudes and units: volume of a cube (3113)

, por F_y_Q

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The structure of a chemical compound is a cube. If the length of the edge of the cube is 500 pm, what will be the volume of the cube expressed in mL?

P.-S.

1. Convert the length to cm:

L = 500\ \cancel{pm}\cdot \frac{10^{-12}\ cm}{10^{-2}\ \cancel{pm}} = \color[RGB]{0,112,192}{\bm{5\cdot 10^{-8}\ cm}}

2. Formula to calculate the volume of the cube:

\color[RGB]{2,112,20}{\bm{V = L^3}}

Substitute the values and calculate:

V = (5\cdot 10^{-8})^3\ \cancel{cm^3}\cdot \frac{1\ mL}{1\ \cancel{cm^3}} = \fbox{\color[RGB]{192,0,0}{\bm{1.25\cdot 10^{-22}\ mL}}}