Answer: [tex]175\ cm^2[/tex]
Step-by-step explanation:
From the given picture the surface area of square pyramid = Area of square+Area of 4 triangles.
Area of square =[tex]side^2=7^2=49\ cm^2[/tex]
For triangles, base of triangle b=7 cm
Height of triangle= 9 cm
Area of one triangle=[tex]\frac{1}{2}bh=\frac{1}{2}(7)(9)=\frac{63}{2}\ cm^2[/tex]
Now, Area of 4 triangles =[tex]4\times\frac{63}{2}=126\ cm^2[/tex]
Area of square pyramid =Area of square+Area of 4 triangles.
[tex]=49\ cm^2+126\cm^2=175\ cm^2[/tex]
