解:
(1)一张复印纸的厚度$d=\frac{h}{n}=\frac{5cm}{500}=0.01cm = 1×10^{-4}m。$
(2)一包复印纸的质量$m = 70g/m^{2}×500×A4纸面积,$A4纸尺寸约为$0.21m×0.297m,$则$A4$纸面积$S = 0.21m×0.297m\approx0.0624m^{2},$
所以$m = 70g/m^{2}×500×0.0624m^{2}=2184g = 2.184kg。$
一包复印纸的体积$V = S_{总}h=0.0624m^{2}×0.05m = 3.12×10^{-3}m^{3}。$
该复印纸的密度$\rho=\frac{m}{V}=\frac{2.184kg}{3.12×10^{-3}m^{3}} = 0.7×10^{3}kg/m^{3}。$
答:
(1)一张复印纸的厚度为$1×10^{-4}m;$
(2)该复印纸的密度为$0.7×10^{3}kg/m^{3}。$