Answer:
The area of the rectangular base of the prism is equal to
![63\ cm^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2yengc9e45qm3f9ajf7yc4jhrocvf2f0ya.png)
Explanation:
we know that
The volume of a rectangular prism is equal to
![V=Bh](https://img.qammunity.org/2020/formulas/mathematics/college/1z8biyc5dxidzjd7gaahhzli35rckolci0.png)
where
B is the area of the base
h is the height of the prism
In this problem we have
![V=189\ cm^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ycbbr2gn63w6z9zo9lb85env4verc5bv79.png)
![h=3\ cm](https://img.qammunity.org/2020/formulas/mathematics/middle-school/stmjhp2nnqfeqzx60mi5er29h766v2jd57.png)
Substitute in the formula and solve for B
![189=B(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l9oollpizliy24mobj2puwly6tbvmlc636.png)
![B=189/3=63\ cm^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gyn0puyvhky7x69jq1zuh8rndzb2u2kg00.png)