Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. Suppose that one has a rule that the sum of the length, width and height of any piece of luggage must be less than or equal to 180 cm. A passenger wants to take a box of the maximum allowable volume. If the length and width are to be equal, what should the dimensions be? length = width= height= In this case, what is the volume? volume= (for each, include units) If the length is be twice the width, what should the dimensions be? length= width= height= In this case, what is the volume? volume= (for each, include units)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. Suppose that one has a rule that the sum of the length, width and height of any piece of luggage must be less than or equal to 180 cm. A passenger wants to take
a box of the maximum allowable volume. If the length and width are to be equal, what should the dimensions be?
length = width
height
In this case, what is the volume?
volume =
=
=
(for each, include units)
If the length is be twice the width, what should the dimensions be?
length
=
width=
height=
In this case, what is the volume?
volume =
(for each, include units)
Transcribed Image Text:Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. Suppose that one has a rule that the sum of the length, width and height of any piece of luggage must be less than or equal to 180 cm. A passenger wants to take a box of the maximum allowable volume. If the length and width are to be equal, what should the dimensions be? length = width height In this case, what is the volume? volume = = = (for each, include units) If the length is be twice the width, what should the dimensions be? length = width= height= In this case, what is the volume? volume = (for each, include units)
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