Concept explainers
To calculate:
Volume of the pyramid for given condition.
Answer to Problem 12WE
Volume of the pyramid for given condition is
Explanation of Solution
Given information:
Condition: length and width of the base and height are three consecutive odd integers and
Calculations:
Let the largest integer be
If the length and width of base and height of a rectangular base pyramid are three consecutive integer.
Then the dimensions of rectangular base pyramid are
The area of the rectangular base is ,
The volume of pyramid is,
From eq.
By distributive property,
By distributive property,
Combine like terms
Therefore, the volume of rectangular box is
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