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

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

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User Ktf
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1 Answer

5 votes
A prism with dimensions
x* y* z has volume
xyz and surface area
2xy+2yz+2xz.

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


(2xy+2yz+2xz)/(xyz)=(2*4*4+2*4*3+2*4*3)/(4*4*3)=(32+24+24)/(48)=\frac53
answered
User Nathan Moinvaziri
by
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