Answer:
[tex]\large\boxed{S.A.=1,119\ in^2}[/tex]
Step-by-step 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:
[tex]A_\triangle=\dfrac{bh}{2}[/tex]
b - base
h - height
The formula of an area of a rectangle:
[tex]A_{\boxed{\ }}=lw[/tex]
l - length
w - width
Calculate:
[tex]A_\triangle=\dfrac{(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[/tex]
The Surface Area:
[tex]S.A.=2A_triangle+2A_1+2A_2+A_3+A_4+A_5[/tex]
Substitute:
[tex]S.A.=2(59.5)+2(170)+2(110)+88+165+187=1,119\ in^2[/tex]
