Question

During a thunderstorm, a total of 1.8 inches of rain falls. How much water falls on one acre of land? (1 mi2 640 acres) Express your answer in the following ways. (a) cubic inches 4.014E9 x in (b) cubic feet 2.314E6x ta (c) cubic meters (c) kilograms 6.58E7 x kg (Note that the density of water is 1000 kg/m2) Assuming that the water is distributed uniformly over the land, its volume is the product of the area over which it is distributed and its depth. The mass of the water is the product of its density and volume. The required conversion factors can be found in Appendix A. eBook

Answer 1

A. 1 sq mi= 4.014e+9 sq inch

Volume= area*depth

= (4.014e+9) * 1.8

=7.2252e+9 in³

B. 1ft³ = 1728 in³

Volume = 4.18125e+6 ft³

C. 1cubic feet= 0.0283 cubic metre

Volume= (4.18125*0.0283)e+6

= 0.1183e+6 cubic metre

D. Mass = volume * density

= 0.1183e+9 Kg