Question #67f43

1 Answer
Dec 21, 2017

1m^3

Explanation:

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