Answer: 6.144 cm³
Step-by-step explanation:
You know that the scale factor of the large milk container to the small milk container is 0.08 .
By definition, the volume scale factor is the linear scale factor elevated to the cube. Therefore, the volume scale factor is:
[tex]VSF=(0.08)^3\\VSF=5.12*10^{-4}[/tex]
Therefore, to calculate the volume of milk that the small container can carry ([tex]V_s[/tex]), you must multiply the volume of milk that the larger container can carry ([tex]V_l[/tex]) by the volume scale factor obtained above. Then the result is:
[tex]V_s=(VSF)(V_l)\\V_s=(5.12*10^{-4})(12,000cm^3)\\V_s=6.144cm^3[/tex]
