A milk retailer wishes to design a milk carton with a square cross-section, as
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
Section9.2: Pyramids, Area, And Volume
Problem 29E
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Plz solve this and take a thumb up plz plz this is math question
![A milk retailer wishes to design a milk carton with a square cross-section, as
illustrated in Figure 1, containing two pints of milk (2 pints = 1.136 litres). The carton
is made from a rectangular sheet of waxed cardboard. It folds it into a square tube,
seals down the edge, and then folds and seals the top and bottom. To make the
resulting carton airtight and robust for handling, an overlap of at least 5mm is
needed. The procedure is illustrated in Figure 2. As the milk retailer will be using
many such cartons, there is a requirement to use the design that is least expensive
to produce. In particular, the retailer desires a design that minimizes the amount of
waxed cardboard used. Determine the dimensions of the container as per retailer
requirements.
5 mm overlap
Fresh Milk
2 pints
h
(1.136 liters)
5 mm overlap
50 тm <b < 100 тm
Figure 1: Milk container dimensions
Figure 2: Milk container overlaps](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd9797ce-962d-404e-b600-6bc1a0668339%2F6037f18d-1eb2-438e-a513-de3257b72d7f%2F04429df_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A milk retailer wishes to design a milk carton with a square cross-section, as
illustrated in Figure 1, containing two pints of milk (2 pints = 1.136 litres). The carton
is made from a rectangular sheet of waxed cardboard. It folds it into a square tube,
seals down the edge, and then folds and seals the top and bottom. To make the
resulting carton airtight and robust for handling, an overlap of at least 5mm is
needed. The procedure is illustrated in Figure 2. As the milk retailer will be using
many such cartons, there is a requirement to use the design that is least expensive
to produce. In particular, the retailer desires a design that minimizes the amount of
waxed cardboard used. Determine the dimensions of the container as per retailer
requirements.
5 mm overlap
Fresh Milk
2 pints
h
(1.136 liters)
5 mm overlap
50 тm <b < 100 тm
Figure 1: Milk container dimensions
Figure 2: Milk container overlaps
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