Question

The scale factor of a large milk container to a small milk container is 0.08. the large milk container can carry 12,000cm3 of milk. how much milk can the small container carry

Answer 1

Answer: 6.144 cm³

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:

`VSF=(0.08)^3\\VSF=5.12*10^(-4)`

Therefore, to calculate the volume of milk that the small container can carry (
`V_s`), you must multiply the volume of milk that the larger container can carry (
`V_l`) by the volume scale factor obtained above. Then the result is:

`V_s=(VSF)(V_l)\\V_s=(5.12*10^(-4))(12,000cm^3)\\V_s=6.144cm^3`