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 =
![(1)/(10)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/aepwrh3e943x7efcio9xavy7vrbdkbcn1i.png)
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
![Volume\ of\ scaled\ object = 39.375 * ((1)/(10))^3\\\\Volume\ of\ scaled\ object = 39.375 * (1)/(1000)\\\\Volume\ of\ scaled\ object = 0.039375](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mme1fgwn8rj9n4ig6q1f8j9zw660borovu.png)
Thus volume of scaled object is 0.039375 cubic inches