Answer:
Option B. 373.80 square centimeters
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The surface area of the figure is equal to the area of its 5 faces (3 rectangular faces plus 2 triangular faces)
step 1
Find the area of its 3 rectangular faces
[tex]A_1=(5.6)(9.4)=52.64\ cm^2[/tex]
[tex]A_2=(12.7)(9.4)=119.38\ cm^2[/tex]
[tex]A_3=(13.9)(9.4)=130.66\ cm^2[/tex]
step 2
Find the area of its 2 triangular faces
[tex]A_4=\frac{1}{2}(12.7)(5.6)=35.56\ cm^2[/tex]
[tex]A_5=\frac{1}{2}(12.7)(5.6)=35.56\ cm^2[/tex]
step 3
Find out the surface area
[tex]SA=A_1+A_2+A_3+A_4+A_5[/tex]
substitute the values
[tex]SA=52.64+119.38+130.66+35.56+35.56[/tex]
[tex]SA=373.80\ cm^2[/tex]
