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solid geometry

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by anjaligeorge1 » Tue Jun 24, 2008 5:42 pm
The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x
cubic feet and a ratio of length to width to height of 3 : 2 : 2. In terms of x, which of the
following equals the height of the carton, in feet?

A CUBE ROOT X
B. CUBE ROOT 2x/3
C . CUBE ROOT 3x/2
D .2/3 CUBE ROOT x
E .3/2 CUBE ROOT x
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by sibbineni » Tue Jun 24, 2008 5:52 pm
let
l-->length
w--->width
h-->height

and l:w:h=3:2:2

then l/h=3/2 and w/h=2/2


Volume of rectangular box=lwh

lwh=x (given)

3/2*h*h*h=x

h^3=2x/3

h=cuberoot(2x/3)

So B is the answer
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