Answer: Second option.
Step-by-step explanation:
The area of a rectangle can be calculated with the following formula:
[tex]A=lw[/tex]
Where "l" is the length and "w" is the width.
You can notice in the figure that there are two equal purple rectangles, two equal green rectangles and two equal pink rectangles.
Knowing that each square of the grid has a side lenght of 1 centimeter:
1. The area of one purple rectangle is:
[tex]A_{pp}=8\ cm*4\ cm=32\ cm^2[/tex]
2. The area of one green rectangle is:
[tex]A_{gr}=8\ cm*2\ cm=16\ cm^2[/tex]
3. The area of one pink rectangle is:
[tex]A_{pk}=4\ cm*2\ cm=8\ cm^2[/tex]
Therefore, in order to find the surface area of the rectangular prism, you can multiply each area calculated before by 2 and then you must add the products.
Then, you get that this is:
[tex]SA=2(32\ cm^2)+2(16\ cm^2)+2(8\ cm^2)\\\\SA=112\ cm^2[/tex]
