The dimensions of the mold.
It has been determined that the base of the mold is of dimension
Given:
An ice sculpture is shaped like a pyramid such that the base of the ice sculpture has sides that are
The volume of the ice sculpture is
Concept used:
The volume of a pyramid with square base is given as
Calculation:
It is given that the base of the ice sculpture has sides that are
Let the height be
Then, the side of the square base is
The volume of the ice sculpture is
So,
Put these values in
Simplifying,
On further simplification,
Continuing simplification,
Finally,
Let
Now, the roots of
Put
So,
Hence,
Simplifying,
So,
Note that the discriminant of
So, the roots of
Hence, the only real root of
This implies that the height of the ice sculpture is
Thus, the base of the mold is of dimension
Conclusion:
It has been determined that the base of the mold is of dimension
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education