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Questions and Answers
What is the volume of the rectangular solid with length $3x$, width $40$, and height $30$?
What is the volume of the rectangular solid with length $3x$, width $40$, and height $30$?
- $90x$
- $360x$
- $120x$ (correct)
- $120$
Given the polynomial $3x^4 - 3x^3 - 33x^2 + 54x$, what is the length of the rectangular solid?
Given the polynomial $3x^4 - 3x^3 - 33x^2 + 54x$, what is the length of the rectangular solid?
- $-3x^3 - 33x^2 + 54x$
- $3x^4$
- $3x$ (correct)
- $3x^4 - 3x^3 - 33x^2 + 54x$
If the volume of the rectangular solid is $73,800$ cubic meters, what is the width of the solid?
If the volume of the rectangular solid is $73,800$ cubic meters, what is the width of the solid?
- $30$
- $61.5$
- $73,800$
- $40$ (correct)
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?
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?
If the volume of the rectangular solid is given by the polynomial $3x^4 - 3x^3 - 33x^2 + 54x$, what is the missing dimension?
If the volume of the rectangular solid is given by the polynomial $3x^4 - 3x^3 - 33x^2 + 54x$, what is the missing dimension?
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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.
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