Answer
$7\frac{1}{2}$ 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 cylinder has:
$l=2$ ft
$w=2\frac{1}{2}$ ft
$h=1\frac{1}{2}$
Using the formula above gives:
$V=(2\text{ ft})(2\frac{1}{2}\text{ ft})(1\frac{1}{2}\text{ ft})
\\V=7\frac{1}{2}\text{ ft}^3$
Therefore, the volume of the rectangular block is $7\frac{1}{2}$ cubic feet.