Question

Please help find the surface area of this

Answer 1

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

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((1)/(2)*Base*Height )\\`

Base=12 cm

Height=16 cm

Area of the two triangles:

`=2((1)/(2)*12*16 )\\\\=2((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`