Answer:
Option C.
Step-by-step explanation:
It is given that the surface area of a rectangular prism, is
[tex]SA=2(ab+ac+bc)[/tex]
where a, b, and c represent the lengths of the edges of the prism.
We need to find the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches.
Substitute a=12, b=6 and c=4 in the above formula.
[tex]SA=2((12)(6)+(12)(4)+(6)(4))[/tex]
[tex]SA=2(72+48+24)[/tex]
[tex]SA=2(144)[/tex]
[tex]SA=288[/tex]
The surface area of this prism is 288 sq.inches.
Therefore, the correct option is C.
