Question

Find the surface area of the figure
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Answer 1

`\large\boxed{S.A.=1,119\ in^2}`

Explanation:

We have:

two triangles with base b = 17in and height h = 7in

two rectangles with length l = 17in and width w = 10in

two rectangles with length l =11in and width w = 10in

one rectangle with length l = 8in and width w = 11in

one rectangle with length l = 15in and width w = 11in

one rectangle with length l = 17in and width w = 11in

The formula of an area of a triangle:

`A_\triangle=(bh)/(2)`

b - base

h - height

The formula of an area of a rectangle:

`A_{\boxed{\ }}=lw`

l - length

w - width

Calculate:

`A_\triangle=((17)(7))/(2)=59.5\ in^2\\\\A_1=(17)(10)=170\ in^2\\\\A_2=(11)(10)=110\ in^2\\\\A_3=(8)(11)=88\ in^2\\\\A_4=(15)(11)=165\ in^2\\\\A_5=(17)(11)=187\ in^2`

The Surface Area:

`S.A.=2A_triangle+2A_1+2A_2+A_3+A_4+A_5`

Substitute:

`S.A.=2(59.5)+2(170)+2(110)+88+165+187=1,119\ in^2`