In GCSE Mathematics, and the topic of transformations, specifically enlargements, the volume scale factor is the number that you multiply the volume of the original shape (object) by to find the volume of the enlarged shape (image). A volume scale factor greater than 1 will mean the image has a greater volume than the object; vice versa for volume scale factors between 0 and 1.
Volume scale factor relates to three-dimensions. Scale factor relates to one-dimension. As such, if the scale factor (of an enlargement) is, say, 2, the volume scale factor would be 23 = 2 x 2 x 2 = 8.
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