Question #67f43

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Answer 1 · 2017-12-21T14:09:12

#1m^3#

convert both units into metres:

#1m = 100 cm -> 1m^2 = (100^2)cm^2 = 10^4 cm^2#

#10^12 cm^2 = (10^12)/(10^4) m^2 = 10^8 m^2#

#2.0 * 10^12 cm^2 = 2.0 * 10^8 m^2#

#5 * 10^-9m = 5 * 10^-9 m#

to find the volume (3D), multiply the area of film that the oil covers (2D) by the thickness of the oil (1D).

#V = 2.0*10^8 m^2 * 5 * 10^-9m#

#2*5 = 10#

#10^8 * 10^-9 = 10^(8-9) = 10^-1#

#2.0*10^8 * 5 * 10^-9 = 10 * 10^-1#

#10 ^ 10-1 = 10^1 * 10^-1 = 10^(1-1) = 10^0#

#10^0 = 1#

#V = 1m^3#