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If the ratio of the dimensions of the larger prism to the smaller prism is r then the ratio of their volumes is r^3.
Suppose the sides of the rectangle ABCD are not parallel to the axis. Then if A = (p,q) and B = (r, s) then by Pythagoras, |AB|2 = (p - r)2 + (q - s)2 from which AB can be calculated. Calculate BC in a similar fashion and then area = AB*BC If AB is parallel to an axis (say the x axis), then q = s so that q - s = 0 and |AB|2 simplifies to (p - r)2 + 02 so that |AB| = |p - r|
I have no idea what andminous means!Two fractions are similar if they have the same denominator. So, given the two fractions p/r and q/r, their sum is (p+q)/r. You need to check whether or not this can be simplified.If they are dissimilar (not disimilar!) fractions then you need to rename them first so that they have the same denominator. Some schools insist that you use the least common denominator (or the least common multiple), but this is not necessary. For two fractions, simple cross-multiplication can be easier. Thus a/b + c/d = ad/bd + bc/bd = (ad + bc)/bd. Again, you need to check whether or not this can be simplified.
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