if the area of the base of a rectangular solid is tripled, what is the percent increase in its volume

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27-05-2017
Mathematics

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if the area of the base of a rectangular solid is tripled, what is the percent increase in its volume

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irspow irspow · Answer 1 · 2017-05-27T16:48:05+02:00

If we let the volume just be the base area b times the height h then:

V1=bh so if that b is triples the other volume would be

V2=3bh

Now the percent change is mathematically:

%change=100(final-initial)/initial, in this case:

%change=100(V2-V1)/V1

%change=100(3bh-bh)/(bh)

%change=100(2bh)/bh

%change=200%

Note: That is SEEMS like this is a 300% increase because it is three times the original amount, but it is not 300% CHANGE. Just as 2 is not a 200% change from 1. 2 is a 100% increase of 1.