Answer:
844368.7 m
Step-by-step explanation:
We are given that a typical sugar cube has an edge length of 1.00 cm.
We have to find the edge length of the box in meters.
Edge length of sugar cube=1 cm =[tex]10^{-2}m[/tex] ([tex]1 cm=\frac{1}{100}m[/tex])
Volume of a sugar cube=[tex]side\times side\time side=(10^{-2})^3=10^{-6}m^3[/tex]
1 mole of sugar=[tex]6.02\times 10^{23}units[/tex]
Volume of 1 unit=[tex]10^{-6} m^3[/tex]
Volume of [tex]6.02\times 10^{23}[/tex] units=[tex]6.02\times10^{23}\times 10^{-6}=6.02\times 10^{17} m^3[/tex]
Volume of box=1 mole of sugar=[tex]6.02\times 10^{17} m^3[/tex]
Edge length of box=[tex]\sqrt[3]{6.02\times 10^{17}}=844368.7 m[/tex]
