If you built an exact 1/4 scale replica of a full scale airplane, the replica would weigh 1/4 to the third power, or 1/64 that of the original, but it would have 1/4 to the second power, or 1/16th of the wing area of the original. It would thus have 1/4 the wing loading of the original.

A 1/4 scale Mustang P-51D makes an interesting illustration of the square-cube law. An all-metal replica built to the original factory drawings, but reduced to 1/4 scale, with about a 9 foot span, would weigh 1/64 that of the original, or about 104 pounds. (A tad on the heavy side, but just great on those gusty days) But here is the kicker: In its nose would reside a gorgeous 26 cubic inch V-12 that would be capable of revving four times as high as the original, since all its parts would be 1/64 as heavy as the full scale parts, but with 1/16 the strength, and it would have only 1/4 the stroke. It would thus make about 1600 x 1/16, or 100 HP. With nearly one horsepower per pound of aircraft weight, it would fly rings around the original, with unlimited vertical climb at around 300 MPH, and a top speed nearly as high as the original, at well over 400 MPH. (Renolds number effects would hurt it a bit.) It would also be capable of withstanding four times the G load of the original.

Playing around with scale effect math can be fun on rainy days.