5. A box for teas is to be made from some cardboard with dimensions 1m by 40cm. It is folded along the dotted line in the figure to the right. 40cm 1m a) Determine an equation to represent the volume of this box. (16.87,3500). b) If the minimum volume needs to be at least 3,500cm³, state the two equations you would use for Desmos. (51.1,3500) (2.03,3500) c) Amir is working on this problem too and determined a graph, (on the right). Assuming he used the same equations as you, determine the possible value(s) for x, explaining any restrictions, the reasons(s) for your choice(s) and omissions. 4000 -12000 -16000-

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 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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5. A box for teas is to be made from some cardboard
with dimensions 1m by 40cm. It is folded along the
dotted line in the figure to the right.
40cm
1m
a) Determine an equation to represent
(16.87,3500)
the volume of this box.
8000-
b) If the minimum volume needs to be at least
3,500cm, state the two equations you would
(51.1,3500)
4000
use for Desmos.
c) Amir is working on this problem too and
determined a graph, (on the right).
Assuming he used the same equations as you,
determine the possible value(s) for x,
explaining any restrictions, the reasons(s) for
your choice(s) and omissions.
(2.03,3500)
40
80
-4000
-8000+
-12000
-16000-
Transcribed Image Text:5. A box for teas is to be made from some cardboard with dimensions 1m by 40cm. It is folded along the dotted line in the figure to the right. 40cm 1m a) Determine an equation to represent (16.87,3500) the volume of this box. 8000- b) If the minimum volume needs to be at least 3,500cm, state the two equations you would (51.1,3500) 4000 use for Desmos. c) Amir is working on this problem too and determined a graph, (on the right). Assuming he used the same equations as you, determine the possible value(s) for x, explaining any restrictions, the reasons(s) for your choice(s) and omissions. (2.03,3500) 40 80 -4000 -8000+ -12000 -16000-
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