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3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. The box is made from a piece of cardboard with an area of 75 cm². (a) Show that the volume of the box, V cm², is given by v=475x – x). (b) Find the value of x such that the volume, V is maximum and also the maximum volume of the box.

3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. The box is made from a piece of cardboard with an area of 75 cm². (a) Show that the volume of the box, V cm², is given by v=475x – x). (b) Find the value of x such that the volume, V is maximum and also the maximum volume of the box.

Advanced Engineering Mathematics
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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3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. The box is made from a piece of cardboard with an area of 75 cm². (a) Show that the volume of the box, V cm², is given by V= (75x – x). h cm x cm x cm (b) Find the value of x such that the volume, V is maximum and also the maximum volume of the box.
Transcribed Image Text:3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. The box is made from a piece of cardboard with an area of 75 cm². (a) Show that the volume of the box, V cm², is given by V= (75x – x). h cm x cm x cm (b) Find the value of x such that the volume, V is maximum and also the maximum volume of the box.
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