Answer
$7\frac{7}{8}=7.875$ cubic feet
Work Step by Step
The volume $(V)$ of a rectangular box is given by the formula:
$V=lwh$
where
$l$=length
$w$=width
$h$=height
The given rectangular ice chest has:
$l=3$ ft
$w=1\frac{1}{2}$ ft
$h=1\frac{3}{4}$
Using the formula above gives:
$V=(3\text{ ft})(1\frac{1}{2}\text{ ft})(1\frac{3}{4}\text{ ft})
\\V=7\frac{7}{8}\text{ ft}^3=7.875 \text{ ft}^3$
Therefore, the capacity of the rectangular ice chest is $7\frac{7}{8}=7.875$ cubic feet.