Question

Please help find the surface area of this

Answer 1

Answer:

Total surface area of the figure = $816cm^2$

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= $2(\frac{1}{2}*Base*Height )$

Base=12 cm

Height=16 cm

Area of the two triangles:

                                         $=2(\frac{1}{2}*12*16 )\\\\=2(\frac{1}{2}*192 )\\\\=2(96)\\\\=192cm^2$

Area of the Three rectangular faces are:

         For , Length= 20 cm     and  width= 13 cm

$Area = Length*Width\\\\=20*13\\\\=260cm^2$

For Length=13 cm   and Width= 12 cm

$Area = 13*12\\\\=156cm^2$

For length=16 cm       and  Width= 13 cm

$Area = 16*13\\\\=208 cm^2$

Total surface area of the figure:

$192+260+156+208=816 cm^2$