A rectangular box of volume V has width, depth and height in the ratio of 2:2:1 (in that order). What is the width as a function of V?	Choose the correct choice:
A) (3V/2)^(1/4)	B) (7V/6)^(1/4)	C) (9V/2)^(1/4)	D) (16V/4)^(1/4)	E) (4V/2)^(1/4)
We are given width = 2, depth = 2, height = 1.   Then Volume V = Width x Depth x Height = 2*2*1= 
<gadget id="calculator">2*2*1</gadget>
<output>4</output>
4   i.e. V= 4   The correct option should result in 2 (the width) on substituting the value of V=4.   Checking options with V=4:   A) (3V/2)^(1/4) = (6/2)^(1/4) = 3^(1/4) INCORRECT ANSWER   B) (7V/6)^(1/4) = (28/6)^(1/4) INCORRECT ANSWER   C) (9V/2)^(1/4) = (36/2)^(1/4) = 18^(1/4) INCORRECT ANSWER   (16V/4)^(1/4)) (16V/4)^(1/4) = (64/4)^(1/4) = 16^(1/4) = 2 CORRECT ANSWER   E) (4V/2)^(1/4) = (16/2)^(1/4) = 8^(1/4) INCORRECT ANSWER   Answer: Option (16V/4)^(1/4)
<result>D</result>
A rectangular box of volume V has width, depth and height in the ratio of 2:2:1 (in that order). What is the width as a function of V?