Sunday, May 29, 2011

A juice box measures 6.4 cm by 4.0 cm by 10.5 cm. It conains 250 ml of juice .The manufacturer wants to design a larger box by increasing each...

The dimensions for the small box = 6.4* 4 *
10.5


==> the volume of the box =
268.8


Let x be the ratio for the increase of the
dimenstion.


Then, new dimensions
are:


(6.4)x * 4x * (10.5)x  =
(268.8)x^3


However, we know that the volume of the new box
should contain 500 ml


Then the volume for the larger
container should be a little more that 500 cm^3    ( 1 cm^3 = 1
ml)


==> (268.8)x^3 =
500


==> x= 1.23 
(approx.)


Then new dimensions are
:


==> 7.872 * 4.92 * 12.915 =  500.2
cm^3

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