A cube is dilated by a factor of 2. How many times larger is the volume of the resulting cube than the volume of the original cu
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To find which ratio is higher, we can first convert the ratios into fractions (that makes it easier, at least for me) and then simplify the fractions and see which one is greater.
Since ratios are basically division, 15:20 = , and
12:16 =
Now we simplify these fractions. 15 and 20 have a GCF of 5, so taking out the common number gives us the simplified fraction of .
12 and 16 have a GCF of 4, so taking out the common number gives us the simplified fraction of . Since
=
, these ratios are the same.