(a)
Find the volume, in terms of x , of each of three level of platform.
The volume of the bottom platform is given by
The volume of the middle platform is given by
The volume of the upper platform is given by
Given:
Calculation:
The length, width and height of the bottom platform are
The length, width and height of the middle platform are
The length, width and height of the upper platform are
Therefore,
The volume of the bottom platform is given by
The volume of the middle platform is given by
The volume of the upper platform is given by
(b)
Write an equation for the total volume.
Given:
The total volume is given by 1250 cubic feet.
Calculation:
The length, width and height of the bottom platform are
The length, width and height of the middle platform are
The length, width and height of the upper platform are
Therefore,
The volume of the bottom platform is given by
The volume of the middle platform is given by
The volume of the upper platform is given by
Total volume is given as 1250 cubic feet.
Hence, the equation for the total volume is given by
(c)
Solve the equation
The length, width and height of the bottom platform are given by
The length, width and height of the middle platform are
The length, width and height of the upper platform are
Given:
The total volume is given by 1250 cubic feet.
Calculation:
The equation for the total volume is given by
Solve this equation
Therefore,
The length, width and height of the bottom platform are given by
The length, width and height of the middle platform are
The length, width and height of the upper platform are
Chapter 2 Solutions
Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
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