5 Questions
What is the volume of the rectangular solid with length $3x$, width $40$, and height $30$?
$120x$
Given the polynomial $3x^4 - 3x^3 - 33x^2 + 54x$, what is the length of the rectangular solid?
$3x$
If the volume of the rectangular solid is $73,800$ cubic meters, what is the width of the solid?
$40$
Suppose the volume of a rectangular solid is given by the polynomial $3x^4 - 3x^3 - 33x^2 + 54x$. What is the height of the solid?
$3x^4 - 3x^3 - 33x^2 + 54x$
If the volume of the rectangular solid is given by the polynomial $3x^4 - 3x^3 - 33x^2 + 54x$, what is the missing dimension?
Height
Study Notes
Rectangular Solid Properties
- The volume of a rectangular solid with length $3x$, width $40$, and height $30$ is unknown.
- The polynomial $3x^4 - 3x^3 - 33x^2 + 54x$ is related to the volume of the rectangular solid.
- The length of the rectangular solid is unknown, but can be determined from the polynomial.
Dimensional Relationships
- If the volume of the rectangular solid is $73,800$ cubic meters, the width of the solid is unknown.
- The height of the rectangular solid is unknown, but can be determined from the polynomial.
- The polynomial $3x^4 - 3x^3 - 33x^2 + 54x$ contains information about the missing dimension of the rectangular solid.
This quiz tests your knowledge on dividing polynomials in precalculus. Topics covered include polynomial long division, synthetic division, and dividing polynomials by monomials.
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