Answer :
Let's call the dimensions of the prism (I will assume it is rectangular) a, b, and c.
The surface area is:
[tex]2ab + 2ac + 2bc = 202[/tex]
The dimensions of the new prism are 3a, 3b, and 3c.
This surface area would be:
[tex]2(3a)(3b) + 2(3a)(3c) + 2(3b)(3c) = [/tex]
[tex]2(9ab) + 2(9ac) + 2(9bc) = [/tex]
[tex]9(2ab + 2ac + 2bc) = [/tex]
[tex]9(202) = \boxed{1818}[/tex]
Hope this helps :D
The surface area is:
[tex]2ab + 2ac + 2bc = 202[/tex]
The dimensions of the new prism are 3a, 3b, and 3c.
This surface area would be:
[tex]2(3a)(3b) + 2(3a)(3c) + 2(3b)(3c) = [/tex]
[tex]2(9ab) + 2(9ac) + 2(9bc) = [/tex]
[tex]9(2ab + 2ac + 2bc) = [/tex]
[tex]9(202) = \boxed{1818}[/tex]
Hope this helps :D
