Here are the essential concepts you must grasp in order to answer the question correctly.
Volume of a Cube
The volume of a cube is calculated using the formula V = s^3, where 's' represents the length of a side. This formula indicates that the volume is directly related to the cube of the side length, meaning that any change in the side length will significantly affect the volume.
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Special Products - Cube Formulas
Scaling Factors
A scaling factor is a number that scales, or multiplies, a quantity. In this context, if the side length of a cube is tripled (scaled by a factor of 3), the new volume can be determined by cubing the scaling factor, which illustrates how changes in dimensions affect overall size.
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Exponential Growth
Exponential growth refers to an increase that occurs at a rate proportional to the current value. In the case of the cube's volume, when the side length is tripled, the volume increases by a factor of 3^3, or 27, demonstrating how exponential relationships can lead to significant changes in outcomes.
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