The greatest height that can be used for pyramid.
The maximum height of the pyramid is 5.2.
Given information: It is given that the height of the pyramid is 0.5cm less than twice the side length of the base of the pyramid.
It is given that we have
Explanation:
Let the length of side of the base of the pyramid be
It is given that the height of the pyramid is
Therefore, Height
It is given that there is
For the height to be maximum, use all the available clay to make the pyramid.
The volume of the pyramid made by using
The base is square with side length
Therefore, the area of base of the pyramid is
Substitute Area of Base
Volume of the pyramid is
Multiply both sides by 6, to get
The graph for
In the graph below note that the scales on
Height of the pyramid is
Therefore, the maximum height of the pyramid is
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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