Answer:
The surface area is [tex]208 cm^2[/tex]
Step-by-step explanation:
In order to determine the surface area of a rectangular solid, we have to know the formula of a rectangular area.
The area of a rectangle is:
[tex]A=B*H[/tex]
Where:
B is the width of the rectangle.
H is the height of the rectangle.
A rectangular solid is a volume that it is formed of rectangular faces, so if we want to determine the total surface, we just have to calculate the rectangular areas for every face.
I have attached an image of a rectangular solid that shows its form and some formulas.
In this case, using the formula of surface area from the image:
[tex]L=4cm\\W=6cm\\H=8cm\\\\S=2*L*H+2*L*W+2*W*H\\S=2*4*8+2*4*6+2*6*8\\S=64+48+96\\S=208[/tex]
Finally, the surface area is [tex]208 cm^2[/tex]
