If 19,200 cm² of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Step 1 Let b be the length of the base and h the height. Then we must maximize the volume the box, V = b2h. The surface area of this box is 19200 = b2 + hb.

If 19,200 cm² of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Step 1 Let b be the length of the base and h the height. Then we must maximize the volume the box, V = b2h. The surface area of this box is 19200 = b2 + hb.

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Functions

Section9.CR: Review Problem Set

Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...

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Tutorial Exercise
If 19,200 cm² of material is available to make a box with a square base and an open top, find the largest
possible volume of the box.
Step 1
Let b be the length of the base and h the height. Then we must maximize the volume
the box, V = b²h.
The surface area of this box is 19200 = b2 +
hb.

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