Answer:
![272 in^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/w4l2n6ki670ikfgcgej95lwelbf63fh5up.png)
Explanation:
The cereal box is a rectangular prism.
Using net of a rectangular prism (cereal box), the surface area
![=2(lw+wh+lh)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/psttibmf9jbnw1gwryh6fbwqdg1hmwkpaa.png)
The dimensions of the cereal box is l=2, w=8, and h=12,
We substitute these values into the formula to get:
![S.A=2(2*8+2*12+8*12)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6iel43k1l7zed83u9zkqnj4waof5upo98n.png)
This simplifies to:
![S.A=2(16+24+96)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pxu97jv6rstbuxp9t1pyf9urohpmvegrft.png)
We add within the parenthesis to get:
![S.A=2(136)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vv8g5a7uoi6d603bp59v6x18fpivgfts1q.png)
This finally gives us:
![S.A=272 in^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ursu5r6ipkvelx4zkx821vjjvurbn9qeh7.png)