SOLUTION: are there certain shapes of rectangular prisms that have the least amount of surface area with equal volume? i am trying to redesign a cereal box so that it holds the same amount o

Algebra ->  Surface-area -> SOLUTION: are there certain shapes of rectangular prisms that have the least amount of surface area with equal volume? i am trying to redesign a cereal box so that it holds the same amount o      Log On


   

Question 277729: are there certain shapes of rectangular prisms that have the least amount of surface area with equal volume? i am trying to redesign a cereal box so that it holds the same amount of cereal but uses less cardboard and creates less waste.
i could use trial and error on different shapes and sizes but was curious if there are general shapes i should start with? thanks
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
a cube is the rectangular prism with the lowest surface area to volume ratio

in general; the closer the values of length, width, and depth are to each other; the lower the ratio