Answer: OPTION B
Step-by-step explanation:
Calculate the area the triangles (Both are equal, then you can multiply the area of one of them by 2):
[tex]A_t=2(\frac{b*h}{2})[/tex]
Where b is the base and h is the height:
[tex]A_t=2(\frac{6cm*8cm}{2})=48cm^{2}[/tex]
Calculate the area of the rectangles that are equal (you can multiply the area of one of them by 2):
[tex]A_{r1}=2lw[/tex]
Where l is the length and w is the width:
[tex]A_{r1}=2*12cm*8cm=192cm^{2}[/tex]
Calculate the area of the other rectangle:
[tex]A_{r2}=12cm*6cm=72cm^{2}[/tex]
Add the areas. Then, the result is:
[tex]A{prism}=48cm^{2}+192cm^{2}+72cm^{2}=312cm^{2}[/tex]
