Answer
V = $72$ in.$^{3}$
SA = $108$ in.$^{2}$
Work Step by Step
Let $h$ = $3$ in., $l$ = $6$ in., and $w$ = $4$ in.
$V = lwh$
$V$ = $3$ in. x $6$ in. x $4$ in. = $72$ in.$^{3}$
The volume of the rectangular box is $72$ in.$^{3}$
$SA$ = $2lh$ + $2wh$ + $2lw$
$SA$ = $2$($6$ in.)($3$ in.) + $2$($4$ in.)($3$ in.) + $2$($6$ in.)($4$ in.)
$SA$ = $36$ in.$^{2}$ + $24$ in.$^{2}$ + $48$ in.$^{2}$
$SA$ = $108$ in.$^{2}$
The surface area of the rectangular box is $108$ in.$^{2}$
