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Over at Brilliant - AOPS they say "Work smarter, not harder." But where does that leave guys like me?
I say, take thinking out of the solution, it only gets you into trouble. Do not follow Karl Maldens advice, I say leave your brain at home, travel light!
yes, yours was correct
That is how I get all my answers. Did you check the answer?
hmmm... i used some weird guessing/intuition and got half of the correct answer of number 1...
This time you cannot solve for a, b and c because there are only two equations. But you don't need to, because we only want to get
There's a neat way to get this. Start with
If you substitute in the values you know you'll be left with the value of a^2 + b^2 + c^2
Let ABCDEFGH be a rectangular prism, as shown. The areas of faces ABCD, ABFE, and ADHE are 56, 110, and 385, respectively. Find the volume of the rectangular prism.