Please help find the surface area of this

Question

asked Jun 21, 2021 41.3k views

1 Answer

Arham Chowdhry · Answer 1 · 2021-06-24T23:31:48+0000

Answer:

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