3. < Previous Ne An open box is to be made out of a 10-inch by 16-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. If the box needs to be at least 1 inch deep, and no more than 3 inches deep, find the absolute maximum and absolute minimum volumes. Maximum volume: Minimum yolume:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
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An open box is to be made out of a 10-inch by 16-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. If the box needs to be at least 1
inch deep, and no more than 3 inches deep, find the absolute maximum and absolute minimum volumes.
Maximum volume:
Minimum volume:
Transcribed Image Text:3. < Previous Next > An open box is to be made out of a 10-inch by 16-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. If the box needs to be at least 1 inch deep, and no more than 3 inches deep, find the absolute maximum and absolute minimum volumes. Maximum volume: Minimum volume:
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A fence is to be built to enclose a rectangular area of 260 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs
13 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
Dimensions:
x 18.978
Submit answer
Transcribed Image Text:6. < Previous Next > A fence is to be built to enclose a rectangular area of 260 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 13 dollars per foot. Find the dimensions of the enclosure that is most economical to construct. Dimensions: x 18.978 Submit answer
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