Answer
$147 \ in^3$
Work Step by Step
The volume of a pyramid is given by
$$
V=\frac{1}{3} Bh=\frac{1}{3}=\frac{1}{3} \times 8.10^2 \times 6.70 = 146.529 \ in^3\approx 147 \ in^3
$$
where B is the area of the base and h is the height of the pyramid.