First we'll consider the floor size. In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle: hypotenuse² = 10² + 12² hypotenuse² = 100 + 144 hypotenuse² = 244 hypotenuse =
15.62 feet
Now we have to consider the third dimension (height = 8 feet). The two sides would be 15.62 and 8 hypotenuse² =
15.62² + 8² hypotenuse² =
244 + 64 = 308 hypotenuse = 17.55 So, the longest pipe that would fit in that room would be 17.55 feet long.
