The volume of scaled object is 0.039375 cubic inches
Solution:
Given that,
Volume of box = 39.375 cubic inches
Scaled down by a factor = [tex]\frac{1}{10}[/tex]
The volume of a scaled object will be equal to the volume of object times scale factor cubed
Therefore,
Volume of scaled object = Volume of box x scale factor cubed
[tex]Volume\ of\ scaled\ object = 39.375 \times (\frac{1}{10})^3\\\\Volume\ of\ scaled\ object = 39.375 \times \frac{1}{1000}\\\\Volume\ of\ scaled\ object = 0.039375[/tex]
Thus volume of scaled object is 0.039375 cubic inches
