Answer:
The volume of the pyramid is
![130(2)/(3)\ units^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sqxx3mnu3pf5q5q1av78pzg9p6g27quqhn.png)
Explanation:
we know that
The volume of the pyramid is equal to
![V=(1)/(3)BH](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1npkck5tezb4g42bc6m0koc5jua6d5elt6.png)
where
B is the area of the base
H is the height of the pyramid
Find the area of the base B
In this problem we have a square base
![B=7^(2) =49\ units^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/thv5oxlmgrlki7efgvf5ys5ouqr0uvm9lw.png)
we have
![H=8\ units](https://img.qammunity.org/2020/formulas/mathematics/middle-school/knslcfkp1vhq2soptr6h8q4j6twttz0w19.png)
substitute
![V=(1)/(3)(49)(8)=(392)/(3)\ units^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9ovwgz6vq3dfw8rxf2x198giq2ve38zx3u.png)
Convert to mixed number
![(392)/(3)=(390)/(3)+(2)/(3)=130(2)/(3)\ units^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z1dmhypgra820pmi6w0i4hfz2km30bg69x.png)