Concept explainers
Find the dimensions of the box using a table and using a graph.
Length of the box is
Width of the box is
And the height of the box is
Given:
The width should be 4 inches less than the height, and the length should be 6 inches greater than the height.
The volume of the box is 1728 cubic inches.
Calculation:
It has been given that the volume of the box is 1728 cubic inches.
Let the height of the box is
Length is given by
Table Method:
Now make a table by taking random positive values for x and check where V is equal to 1728.
At
Therefore,
Hence,
Length of the box is
Width of the box is
And the height of the box is
Graphical method:
Graph the function
The x - coordinate of the intersection point is
Length of the box is
Width of the box is
And the height of the box is
Chapter 2 Solutions
Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
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