x y and z

in Calculus Answers by Level 2 User (1.4k points)

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The area of the 4 sides totals 4xy and the area of the base is x² so the total surface area is 4xy+x²=48, therefore y=(48-x²)/4x. The volume V=x²y=x²(48-x²)/4x=x(48-x²)/4 or 12x-x³/4. dV/dx=12-3x²/4=0 when V is max or min.

So 3x²/4=12, x²=16, x=4ft (reject x=-4). Therefore y=(48-16)/16=2ft. Volume is 32 cu ft.

by Top Rated User (1.0m points)

Related questions

1 answer
asked Apr 5, 2014 in Calculus Answers by amandawho Level 1 User (620 points) | 587 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,067 questions
96,685 answers
24,366 users