Answer: [tex]208cm^2[/tex]
Step-by-step explanation:
Given the sides of the rectangular solid, which you can identify as "x", "y" as "z":
[tex]x=8cm\\y=6cm\\z=4cm[/tex]
You can calculate the surface area (SA) of the rectangular solid with the following formula:
[tex]SA=2(yz+xy+xz)[/tex]
Then you need to substitute the values of the "x", "y" and "z" into the formula.
Therefore, the surface area of the rectangular solid is:
[tex]SA=2(yz+xy+xz)\\\\SA=2[(6cm)(4cm)+(8cm)(6cm)+(8cm)(4cm)]\\\\SA=2[24cm^2+48cm^2+32cm^2]\\\\SA=208cm^2[/tex]