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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
Transcribed Image Text: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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