SOLUTION: A large rectangular prism has a surface area of 576 square feet. The dimensions of a small rectangular prism are 1/3 the size of the dimensions of the large rectangular prism. What

Algebra ->  Surface-area -> SOLUTION: A large rectangular prism has a surface area of 576 square feet. The dimensions of a small rectangular prism are 1/3 the size of the dimensions of the large rectangular prism. What      Log On


   

Question 1034988: A large rectangular prism has a surface area of 576 square feet. The dimensions of a small rectangular prism are 1/3 the size of the dimensions of the large rectangular prism. What is the surface area of the small rectangular prism?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The surface area is proportional to the square of the ratio of the sides. So if the smaller one is 1/3 the size on each side, the surface area is (1/3)^2 = 1/9 as great.
Thus, 1/9 of 576 is 576/9 = 64 square feet