What is the surface area of the figure shown? Plz answer asap300 cm 2336 cm 2264 cm 2358 cm 2

Answer:[tex]264\ cm^{2}[/tex]Step-by-step explanation:we know thatThe surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prismstep 1Find the lateral face of the triangular prismThe lateral area is equal to the area of its four lateral triangular faces[tex]LA=4(\frac{1}{2}(6)(7))=84\ cm^{2}[/tex]step 2Find the lateral area of the rectangular prismThe lateral area is equal to the perimeter of the base multiplied by the height [tex]LA=(4)(6)(6)=144\ cm^{2}[/tex]step 3Find the area of the base of the rectangular prism [tex]B=(6)(6)=36\ cm^{2}[/tex]step 4Find the surface area[tex]84\ cm^{2}+144\ cm^{2}+36\ cm^{2}=264\ cm^{2}[/tex]