christapgorh christapgorh
  • 15-03-2018
  • Mathematics
contestada

What are the dimensions of a box that would hold 250 cubic centimeters of juice what is the surface area

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calculista
calculista calculista
  • 25-03-2018
the correct question is
What are the dimensions of a box that would hold 250 cubic centimeters of juice and have a minimum surface area

we know that

The dimensions of a box that have the minimum surface area for a given Volume is such that it is a cube. 
[volume of a cube]=b³
V=250 cm³
so
250=b³----------> b=6.30 cm

the dimensions of a box are 6.30 cm x 6.30 cm x 6.30 cm

the answer is
 6.30 cm * 6.30 cm * 6.30 cm.
This is a cube of side 6.30 cm


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