Enter the original volume and the scale factor into the calculator to determine the scaled volume. This calculator helps in understanding how volume changes with scaling.
Volume Scale Factor Formula
The following formula is used to calculate the scaled volume.
SV = OV * SF³
Variables:
- SV is the scaled volume (units³)
- OV is the original volume (units³)
- SF is the scale factor (dimensionless)
To calculate the scaled volume, multiply the original volume by the cube of the scale factor.
What is a Volume Scale Factor?
A volume scale factor is a number which, when multiplied by the volume of an object, gives a new volume that is a scaled version of the original. This is used in various applications such as modeling, architecture, and design where dimensions are increased or decreased proportionally. The scale factor represents the ratio of the linear dimensions of the scaled object to the original.
How to Calculate Scaled Volume?
The following steps outline how to calculate the Scaled Volume.
- First, determine the original volume (OV) in cubic units.
- Next, determine the scale factor (SF).
- Next, gather the formula from above = SV = OV * SF³.
- Finally, calculate the Scaled Volume (SV) in cubic units.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
original volume (OV) = 8 units³
scale factor (SF) = 2
