Using the scale factor, the volume of the larger similar shaped box is 497.6in³.
A scale factor is simply the ratio of the corresponding sides of two similar objects. A scale factor of 4 simply means that the new shape is multiply four times the size of the original shape.
Given the data in the question;
Since scale factor of 4 means that the new shape is multiply four times the size of the original shape.
Volume of the larger box V = V° × SF
V = 124.4in³ × 4
V = 497.6in³
Therefore, using the scale factor, the volume of the larger similar shaped box is 497.6in³.
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