Respuesta :
The scale factor occurs when we extend a form and multiply each side by the same number, and the further discussion can be defined as follows:
Scale factor:
Since the box is dilated by the scale factor of 4, hence the length, the width of the box will be dilated by 4 times the original length, which dilates the volume of the box by [tex]4^3= 64[/tex] times the original volume
Therefore
[tex]1.2 \ \ O_2[/tex] is dilated to [tex]64 \times 1.2 = 76.68\ \ o_2[/tex]
Since the initial quantity of cereal was 12 ounces and the final quantity of cereal was 18.75 ounces, Therefore, the volume of the box is dilated by a scale factor of [tex]\frac{18.75}{1.2}[/tex]
Hence,
Each side of the box has to be dilated by a scale factor of [tex](\frac{18.75}{1.2})^{\frac{1}{3}}= 2.5[/tex]
Find out more about the scale factor here:
brainly.com/question/22312172
