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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
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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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