A rectangular box of volume x has width, depth and height in the ratio of 5:1:2 (in that order). What is the width as a function of x?  Choose the correct answer:
A) (4x/12)^(1/2)  B) (10x/4)^(1/2)  C) (5x)^(1/2)  D) (2x/5)^(1/2)  E) (4x/3)^(1/2)
We are given width = 5, depth = 1, height = 2   Then Volume x = Width x Depth x Height = 5*1*2= 
<gadget id="calculator">5*1*2</gadget>
<output>10</output>
10   i.e. x= 10   i.e. The correct option should result in 5 (the width) on substituting the value of x=10   Checking options with x=10   A) (4x/12)^(1/2) = (4*10/12)^(1/2) = (40/12)^(1/2) INCORRECT ANSWER   (10x/4)^(1/2)) (10x/4)^(1/2) = (10*10/4)^(1/2) = 25^(1/2) = 5 CORRECT ANSWER   C) (5x)^(1/2) = (5*10)^(1/2) = 50^(1/2) INCORRECT ANSWER   D) (2x/5)^(1/2) = (2*10/5)^(1/2) = 4^(1/2) = 2 INCORRECT ANSWER   E) (4x/3)^(1/2) = (4*10/3)^(1/2) = 40/3^(1/2) INCORRECT ANSWER   Answer: Option (10x/4)^(1/2)
<result>B</result>
A rectangular box of volume x has width, depth and height in the ratio of 5:1:2 (in that order). What is the width as a function of x?