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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?

  • Geometry -

    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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