Try to solve the following question, and time yourself:

If the volume of a big cube is 64 times that of a small cube, how many times bigger is the surface area of the big cube than that of the small cube?

If you cannot answer the above (classic GMAT) question in under 20 seconds, continue reading and you will learn a concept that will be super useful in your quest to crush the GMAT!

I was watching Austin Powers the other day and it suddenly hit me: Dr. Evil and Mini-Me are similar shapes! You know, like similar triangles, where the proportion between any two matching sides is always maintained “ if Mini-Me’s fingers are exactly half the length of Dr. Evil’s fingers, then Mini-Me’s eyes, ears, nose, and feet must also be exactly half their counterparts in Dr. Evil’s body. It got me thinking “ what other kinds of similar shapes could be out there? I will investigate that thought further in the second half of this post, but first let’s see why that might be useful

We know triangles are similar whenever they have the same three angles. If the base of the bigger triangle is exactly twice that of the smaller triangle, then each side in the bigger triangle will also be twice as big as its matching side in the smaller triangle.
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