What is the surface area of the solid figure represented by the net? A. 338.24 square centimeters B. 373.80 square centimeters C. 444.92 square centimeters D. 747.6 square centimeters
Accepted Solution
A:
Answer:Option B. 373.80 square centimeters Step-by-step explanation:see the attached figure to better understand the problemwe know thatThe surface area of the figure is equal to the area of its 5 faces (3 rectangular faces plus 2 triangular faces)step 1Find 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 2Find 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 3Find 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]