A Cardboard Box Without a Lid Is to Have Volume $5 / 2$

Multiple Choice

A cardboard box without a lid is to have volume 100 cubic inches, with total area of cardboard as small as possible. Find its height in inches.

A) 2

B) $5 / 2$
C) 4
D) 5
E) $25 ^ { 1 / 3 }$
F) $25 ^ { 2 / 3 }$
G) $200 ^ { 1 / 3 }$
H) $200 ^ { 2 / 3 }$