Your company are designing metal trays. They will be made out of a sheet of metal which has a perimeter of 80 cm. The box is made by removing squares of side y = 2 cm from each corner of the rectangle and then folding in the sides. A net is shown below. ● Your company wants to maximise the capacity of these trays and wants you to investigate what value of x will give you the maximum volume. ● Investigate how changing the size of the square at each corner would affect the capacity of the tray and investigate the value of y which would give you maximum volume.
Your company are designing metal trays. They will be made out of a sheet of metal which has a perimeter of 80 cm. The box is made by removing squares of side y = 2 cm from each corner of the rectangle and then folding in the sides. A net is shown below. ● Your company wants to maximise the capacity of these trays and wants you to investigate what value of x will give you the maximum volume. ● Investigate how changing the size of the square at each corner would affect the capacity of the tray and investigate the value of y which would give you maximum volume.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Your company are designing metal trays. They will be made out of a sheet of metal
which has a perimeter of 80 cm. The box is made by removing squares of side y = 2
cm from each corner of the rectangle and then folding in the sides. A net is shown
below.
● Your company wants to maximise the capacity of these trays and wants you to
investigate what value of x will give you the maximum volume.
● Investigate how changing the size of the square at each corner would affect the
capacity of the tray and investigate the value of y which would give you
maximum volume.
Transcribed Image Text:Investigation 2
Your company are designing metal trays. They will be made out of a sheet of metal
which has a perimeter of 80 cm. The box is made by removing squares of side y = 2
cm from each corner of the rectangle and then folding in the sides. A net is shown
below.
Your company wants to maximise the capacity of these trays and wants you to
investigate what value of x will give you the maximum volume.
• Investigate how changing the size of the square at each corner would affect the
capacity of the tray and investigate the value of y which would give you
maximum volume.
Y cm
x cm
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