Answer:
Total surface area of the figure = [tex]816cm^2[/tex]
Step-by-step explanation:
Surface area of the figure= Area of two triangles+Area of the three rectangles
Area of the two opposite triangles in the figure= [tex]2(\frac{1}{2}*Base*Height )\\[/tex]
Base=12 cm
Height=16 cm
Area of the two triangles:
[tex]=2(\frac{1}{2}*12*16 )\\\\=2(\frac{1}{2}*192 )\\\\=2(96)\\\\=192cm^2[/tex]
Area of the Three rectangular faces are:
For , Length= 20 cm and width= 13 cm
[tex]Area = Length*Width\\\\=20*13\\\\=260cm^2[/tex]
For Length=13 cm and Width= 12 cm
[tex]Area = 13*12\\\\=156cm^2[/tex]
For length=16 cm and Width= 13 cm
[tex]Area = 16*13\\\\=208 cm^2[/tex]
Total surface area of the figure:
[tex]192+260+156+208=816 cm^2[/tex]
