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To find the ratio of surface area to volume, we plug in the values for b and h into the expression:
Surface Area = 2b^2 + 4bh
Volume = b^2h
Ratio = (2b^2 + 4bh) / (b^2h)
When b = 15 ft and h = 10 ft:
Surface Area = 2(15)^2 + 4(15)(10) = 2(225) + 4(150) = 450 + 600 = 1050 ft^2
Volume = (15)^2(10) = 225(10) = 2250 ft^3
Ratio = 1050 / 2250 = 0.4666666666666667
Therefore, when b = 15 ft and h = 10 ft, the ratio of surface area to volume for the square prism is 0.4667.