area * .5 = 4608 cu. in/hr. This is 19.95 gallons.

C(x) = 19.95x

C(3.5) = 69.8 gallons.

This ignores the fact that the water will drain completely via the spout.

1. First, since the building is square, the roof will be 8ft x 8ft, or 96in x 96in. If there is 1/2inch rainfall in hone hour, the amount of rain on the roof will be 96in x 96 in x 1/2 in or 4608 cubed inches.

2. So first we know that the roof is 9216 sq in (96in x 96in). And there is 1/2 in per hour. the Cubic inches equation is with x being the number of hours:

(9216 sq in) X (.5in/hr)(x) = amnt of water that land on roof in cubic in.

Change that into gallons::

(1gal/231cubic in) (9216 sq in) X (.5in/hr)(x) = amnt of water that land on roof in gallons.

-the cubic in on the bottom will cancel with the sq in x in to leave galons.

3. Plug in 3.5 into the last equation:

(1gal/ 231 cubic in)(9216 sq in) X (.5in/hr)(3.5hr) = 62.82 gal

I hope that’s right or at least helps. Have fun in class!