A styrofoam cooler $($K$=\mathrm{.}030($W$)/($m$)\backslash$deg C$)$ has outside dimensions of $0\mathrm{.}130$m$\backslash$times $0\mathrm{.}310$m$\backslash$times $0\mathrm{.}380$m$,$ and an average thickness of $2\mathrm{.}8$ cm $.$ About how long will

it take for $1\mathrm{.}60$ kg of ice at $0\backslash$deg to melt in the cooler if the outside temperature is $30\mathrm{.}0\backslash$deg $?$

The cooler is a rectangular and box$-$shaped. A good way to estimate the effective surface area for heat transfer is to average the inner and outer surface

areas. Another way is to use dimensions halfway through the styrofoam.

Units required.

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