Concept explainers
To calculate the volume of the box as a function of x.
Volume of the box =
Given:
Side of a square
Length of cardboard
Width of cardboard
Formula used:
Calculation :
If a square is cut from all the corners., the box will have a base with following sides:
Length of the box
Width of the box
Depth of the box
Hence,
To calculate the domain of volume function.
Domain
Given:
Side of a square
Length of cardboard
Width of cardboard
Formula used:
Calculation :
If a square is cut from all the corners., the box will have a base with following sides:
Length of the box
Width of the box
Depth of the box
Hence,
As the all lengths should be positive, we have a constraint on
Domain
To find the maximum volume of the box
Maximum volume of the box =
Given:
Side of a square
Length of cardboard
Width of cardboard
Formula used:
Calculation :
The volume of the box is
Graph:
Interpretation:
From the graph, the maximum volume of the box =
Chapter 1 Solutions
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
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