A piece of sheet metal is rectangular, 5 feet wide and 8 feet long. Congruent squares are to be cut from its four corners. The resulting piece of metal is to be folded and welded to form a box with an open top. What would be the dimensions of the box that will maximize its volume? O 24 cubic feet O 18 cubic feet O 16 cubic feet O 12 cubic feet

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Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
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A piece of sheet metal is rectangular, 5 feet wide and 8 feet long. Congruent squares are to be cut from its four corners. The resulting
piece of metal is to be folded and welded to form a box with an open top.
What would be the dimensions of the box that will maximize its volume?
24 cubic feet
18 cubic feet
16 cubic feet
12 cubic feet
Transcribed Image Text:A piece of sheet metal is rectangular, 5 feet wide and 8 feet long. Congruent squares are to be cut from its four corners. The resulting piece of metal is to be folded and welded to form a box with an open top. What would be the dimensions of the box that will maximize its volume? 24 cubic feet 18 cubic feet 16 cubic feet 12 cubic feet
A farmer has 400 feet of fencing with which to build a rectangular corral having two internal dividers both parallel to two of the sides
of the corral.
What is the maximum total area of such a corral?
A = 20,000 square feet
A = 15,000 square feet
A = 10,000 square feet
%D
O A = 5,000 square feet
Transcribed Image Text:A farmer has 400 feet of fencing with which to build a rectangular corral having two internal dividers both parallel to two of the sides of the corral. What is the maximum total area of such a corral? A = 20,000 square feet A = 15,000 square feet A = 10,000 square feet %D O A = 5,000 square feet
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