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Please someone HELP!!!!!! Thank you :)
The area of a square varies as the square of the variation of the sides. If the side dimension is doubled, the area will be quadrupled. \[A=l ^{2}\] now the l dimension is doubled and becomes 2l \[A=(2l)^{2}=4l ^{2}\]\[4l ^{2}\over l ^{2}\] is 4 or area quadrupled.
Don't know what you need for sure, but that was my "conjecture"
oh, ok. thanx now using ur conjecture to write a ratio of surface areas and volumes if the dimensions of two similar rectangular prisms are l, w, h, and kl, kw, kh.
yes same thing radar was saying...if the scale factor is k then for surface area the ratio will be k^2 and volume will be k^3
take a rectangular prism for example Area1 = 2lw +2lh +2wh = 2(lw+lh+wh) Area2 = 2k^2lw +2k^2lh +2k^2wh = 2k^2 (lw+lh+wh) Volume1 = l*w*h Volume2 = lk*wk*hk = k^3 *l*w*h
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