Answer
$V=10\frac{5}{6}$ cubic inches
Work Step by Step
The formula for the volume of a square-based pyramid is $V=\frac{1}{3}s^{2}h$ where $s$=length of the side and $h$=height. According to the data, $s=5$ in and $h=1.3$ in.
$V=\frac{1}{3}s^{2}h$
$V=\frac{1}{3}(5)^{2}(1.3)$
$V=\frac{1}{3}(25)(1.3)$
$V=(\frac{25}{3})(1.3)$
$V=(\frac{25}{3})(\frac{13}{10})$
$V=(\frac{5}{3})(\frac{13}{2})$
$V=\frac{65}{6}$
$V=10\frac{5}{6}$ cubic inches