Whats the equation for maximum volume?
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I'm doing this homework assignment called "Game Tank Lab". It asks you to generate an equation for the volume of a tank that needs to be filled with ping pong balls. It wants you to find the maximum volume for the tank. This is an explanation from the book about the tank. "The tank will be rectangular, open at top, and will be made by cutting each corner of an 8.5 meter by 11 meter sheet." It asks to model this with a piece of paper and take the dimensions. I got a height of 2.5cm, width of 16.5cm, and a length of 12.5 and a volume of 940.5. Like i said it ask for an equation for maximum volume, and i have this equation "x(-2x+8.5)(-2x+11)" I just need help with the equation for maximum volume, what is it?
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Answer:
Your V is valid , ake the derivative , set to 0 , solve for x , find the V (x)...{≈ 1.5854 ; 66.15 }
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