Answer:
The volume of the rectangular prism is
![V=442.341\ cm^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4kmkf6z6h1weryja2pi25g20ogsiqvitx7.png)
The surface area of the rectangular prism is
![SA=384.62\ cm^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7eh1rjtauo2g4vx44irhchfz6mwwnyb0ww.png)
Explanation:
we know that
The volume of the rectangular prism is equal to
![V=LWH](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3m1awwv9g1oy02vln25s95rvgdjz1nzzzt.png)
substitute the values
![V=(12.7)(8.1)(4.3)=442.341\ cm^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/d4hosyj8niu1r4pa732mucz57kmx43hlmv.png)
The surface area of the rectangular prism is equal to the area of its six faces
so
![SA=2(8.1)(4.3)+2(12.7)(8.1)+2(12.7)(4.3)=384.62\ cm^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/see3tokqjlw8o5tw11dlvzqjvrnt13uzu8.png)