Question

The prism has a surface area of 202 ft2.

What would the surface area of the prism be if each dimension were tripled?



ft2

Answer 1

Let's call the dimensions of the prism (I will assume it is rectangular) a, b, and c.

The surface area is:


`2ab + 2ac + 2bc = 202`

The dimensions of the new prism are 3a, 3b, and 3c.

This surface area would be:


`2(3a)(3b) + 2(3a)(3c) + 2(3b)(3c) =`


`2(9ab) + 2(9ac) + 2(9bc) =`


`9(2ab + 2ac + 2bc) =`


`9(202) = \boxed{1818}`

Hope this helps :D