Answer:
Option B
Step-by-step explanation:
Scale factor by which the dimensions of the new box was dilated = [tex]\frac{1}{2}[/tex]
In other words, dimension scale factor = [tex]\frac{1}{2}[/tex]
Relation between volume scale factor and dimension scale factor is,
Volume scale factor = (Dimension scale factor)³
Therefore, volume scale factor of the smaller box = [tex](\frac{1}{2})^3[/tex]
= [tex]\frac{1}{8}[/tex]
Since, volume scale factor = [tex]\frac{\text{Volume of the dilated figure}}{\text{Volume of the original figure}}[/tex] = [tex]\frac{1}{8}[/tex]
Therefore, volume of the smaller box = Volume of the larger box
Option B will be the answer.
