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Scaling affects volume by changing the size of an object while maintaining its proportions. When an object is scaled up, its volume increases by a factor of the scaling factor cubed. Conversely, when an object is scaled down, its volume decreases accordingly.

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1y ago

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Why multiplying the mass and volume by the same factor affect density?

When you multiply both the mass and volume of an object by the same factor, you are essentially scaling the entire object uniformly. Since density is calculated as mass divided by volume, when you multiply both the mass and volume by the same factor, the ratio between them remains the same. As a result, the density of the object remains unchanged.


What does scaling mean in mathematics?

In mathematics, scaling refers to the process of multiplying a quantity by a constant factor, which alters its size or magnitude. This can apply to various contexts, such as scaling geometric figures to change their dimensions while maintaining their shape, or scaling functions to adjust their outputs. Scaling is fundamental in areas like statistics, where it can affect data distributions, and in graphics, where it adjusts the size of images or objects. Overall, scaling allows for comparison and manipulation of mathematical entities by changing their scale without altering their fundamental properties.


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