The length and width of a cardboard are 24 ft and 15 ft. We are going to cut out the corners and fold up the sides to form a box. Determine the height of the box that will give maximum volume. Note: Write only the numerical value of the height, the units are already written. Write the exact answer not the decimal approximation (for example write 3+/5 then write 4 3+/5 not 0.8). Also, if the answer is or (3+sqrt(5))/4 . Answer: The height of the box that will give maximum volume is | ft

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...
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The length and width of a cardboard are 24 ft and 15 ft. We are going to cut out the corners and fold up the sides to form a box. Determine the height of the
box that will give maximum volume.
Note: Write only the numerical value of the height, the units are already written. Write the exact answer not the decimal approximation (for example write
4 not 0.8). Also, if the answer is
3+/5
4
3+V5
4
then write
or (3+sqrt(5))/4 .
Answer:
The height of the box that will give maximum volume is
| ft
Transcribed Image Text:The length and width of a cardboard are 24 ft and 15 ft. We are going to cut out the corners and fold up the sides to form a box. Determine the height of the box that will give maximum volume. Note: Write only the numerical value of the height, the units are already written. Write the exact answer not the decimal approximation (for example write 4 not 0.8). Also, if the answer is 3+/5 4 3+V5 4 then write or (3+sqrt(5))/4 . Answer: The height of the box that will give maximum volume is | ft
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