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ghostcat123 ghostcat123
  • 05-01-2017
  • Mathematics
Answered

Determine the surface-area to volume ratio for a rectangular prism with the indicated dimensions. Show all steps 4 x 4 x 3

Verified Answer :

LammettHash
LammettHash LammettHash
  • 05-01-2017

A prism with dimensions \(x\times y\times z\) has volume \(xyz\) and surface area \(2xy+2yz+2xz\).

So, the surface-area-to-volume ratio is

\(\dfrac{2xy+2yz+2xz}{xyz}=\dfrac{2\times4\times4+2\times4\times3+2\times4\times3}{4\times4\times3}=\dfrac{32+24+24}{48}=\dfrac53\)

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