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    i need help

    How can the surface area of a rectangular prism change if evey one of the dimensions is increased by a factor of x? and how can we prove that?
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    Quote Originally Posted by rose1 View Post
    How can the surface area of a rectangular prism change if evey one of the dimensions is increased by a factor of x? and how can we prove that?
    Take any rectangular prism. Let the lengths of the sides (width, height, and length) be u,\,v, and w. Then what is the surface area of this prism? It is just the sum of the areas of each face:

    S=2uv+2vw+2uw.

    If you increase each dimension by a factor of x, then the new dimensions are ux,\,vx, and wx. So what will the new surface area be? Now compare this to that of the original.
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