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

asked Jul 22, 2018 38.3k views

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by Ktf

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A prism with dimensions
x* y* z

has volume
xyz

and surface area
2xy+2yz+2xz

.

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

$(2xy+2yz+2xz)/(xyz)=(2*4*4+2*4*3+2*4*3)/(4*4*3)=(32+24+24)/(48)=\frac53$

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