Clearly, the longest side is the sum of the other two lengths since 1 + phi = Phi

i. Show that the largest face (area C=1 x Phi) is the sum of the other two face's areas (area A =1 x phi and area B=phi x Phi) ?

ii. Evaluate the surface area S of the brick.

iii. Find the diagonal across the brick.

iv. What is the ratio of the surface areas of
the "Phi-bonacci brick" and its surrounding sphere?