Respuesta :

Answer:

142 meters

Step-by-step explanation:

As= 2(lw+lh+wh)

Answer: The surface area is 142m^2

Step-by-step explanation:

-The formula:

[tex]A = 2(wl+hl+hw)[/tex]

-Solve:

[tex]A =[/tex] [tex]2[/tex] [tex](5[/tex] × [tex]7[/tex][tex])[/tex] [tex]+2[/tex] [tex](3[/tex] × [tex]7)[/tex] [tex]+ 2[/tex] [tex](3[/tex] × [tex]5)[/tex]

[tex]A = 10[/tex] × [tex]7 + 6[/tex] × [tex]7 + 6[/tex] × [tex]5[/tex]

[tex]A = 70 + 6[/tex] × [tex]7 +6[/tex] × [tex]5[/tex]

[tex]A = 70 + 42 +6[/tex] × [tex]5[/tex]

[tex]A = 112 + 6[/tex] × [tex]5[/tex]

[tex]A = 112 +30[/tex]

[tex]A = 142[/tex]

Therefore, the surface area of a rectangular prism is [tex]142 m ^2[/tex].