Question

1.   A human tissue cell has a diameter of the order 1.0µm. Assuming each cell occupies a cube of 1.0 µm on one side, estimate the number of cells in 1.0cm³ of tissue.

Answer 1

Solution.

$d=1.0\mu m=10^{-6}m;$

$V=1.0cm^3=10^{-6}m^3;$

$V_1=d^3;$

$V_1=(10^{-6})^3=10^{-18}m^3;$

$N=\dfrac{V}{V_1};$

$N=\dfrac{10^{-6}}{10^{-18}}=10^{12};$

Answer:$N=10^{12}.$