Asked by diego
Find the dimensions of the rectangular box having the largest volume and surface area 60 square units
Answers
Answered by
Reiny
largest volume is obtained when the box is a cube
so 6 faces total 60 square units
each face is 10 square units
so each side is √10 units long
volume = (√10)^3 = 10√10 or appr 31.6 units^3
so 6 faces total 60 square units
each face is 10 square units
so each side is √10 units long
volume = (√10)^3 = 10√10 or appr 31.6 units^3
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