Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20131026 10:41:55
amc problems1. A cube is sliced with one straight slice which passes through two opposite edges. The result is two solids, as shown. The area of the largest face on one of these two solids is 242\sqrt {2} square units. What was the exact surface area of the original cube? Genius is one percent inspiration and ninetynine percent perspiration #2 20131026 15:34:28
Re: amc problemsHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #3 20131028 14:26:57
Re: amc problemsthe picture is here: http://classroom.artofproblemsolving.com/latex/e/4/4/e44183c89cddb01c6e653eb0a08526a673fb8717.png Genius is one percent inspiration and ninetynine percent perspiration #4 20131028 14:30:16
Re: amc problemsgot another question: The triangle ABC shown is a right triangle. The semicircles have the sides of the triangle as diameters. The areas of two of the semicircles are shown. What is the area of the third semicircle? Genius is one percent inspiration and ninetynine percent perspiration #5 20131028 14:35:06
Re: amc problemsHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #6 20131028 21:06:26
Re: amc problemsI get the following thumbnail but I can’t open it on the Google page. where d is semicircle diameter / triangle side and A and is semicircle area. Thus Hence the area of the third semicircle is 20. 134 books currently added on Goodreads #7 20131108 11:41:37
Re: amc problemsi'm pretty much sure it gets to the main pic Genius is one percent inspiration and ninetynine percent perspiration 