Question

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

Answer 1

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`