In usa, butter is generally sold by pounds, with four sticks per pound and each stick being 11.45 cm in length.

(a) if each stick is in the shape of a rectangle with square cross-section, find the dimensions of each stick (cm). for butter: k 1⁄4 0.2 w/(m k); r 1⁄4 998 kg/m3 ; cp 1⁄4 2,300 j/(kg k).
(b) suppose that a stick of butter is maintained for a week at 280 k. it is then placed in the surroundings at room temperature (293 k) so that all the six sides are exposed to air with h 1⁄4 8 w/(m2 k). find the temperature (k) at the center of a single stick after 1 h.