# Geometry

posted by Joe

_____________________

Two similar rectangular prism have corresponding sides that measure 5 feet and 6 feet.

If the surface area of a smaller prism is 525 square feet, what is the surface area of a larger prism?

1. drwls

For similar figures, area is proprtional to the square of corresponding length dimensions, and volume is proportional to the cube.

In this case, the areas are in a ratio os (6/5)^2 = 36/25.

So the area of the larger prism is
(36/25)*525 = 756 ft^2

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