Tofind:The value of x in the given problem.
Answer to Problem 13P
The value of x is 5.37 cm.
Explanation of Solution
Given:
The height of the first box =
The dimension of the square base of the first box =
The height of the second box =
The dimension of the square base of the second box =
Calculation:
The volume of the box is given by
The two boxes have the same volume. Equate the volume equations of the two boxes.
The solution of the given equation is obtained by using the quadratic formula.
For a quadratic equation in the form of
Comparing the given equation with the standard quadratic equation, the coefficients are:
Substituting these in the formula for the roots.
The dimension cannot be negative.
The value of x is 5.37 units.
Therefore, the value of x is 5.37cm.
Chapter 7 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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