Respuesta :

Answer:

15 times and more. After she pours the 15th container, in the middle of the next one, the work will be done.

Step-by-step explanation:

Length, Area, and Volume Scale Factors

If two similar shapes have a length scale factor of a:b, then the scale factor of their areas (or surface lateral areas) is [tex]a^2:b^2[/tex] and the scale factor of their volumes is [tex]a^3:b^3[/tex].

We are given the scale factor of the surface areas of two similar containers A and B as 4:25.

The length scale factor is

[tex]\sqrt{4}:\sqrt{25}=2:5[/tex]

The volume scale factor is: [tex]5^3:2^3[/tex] = 125:8 = 15.625

Warda needs to fill with oil and pour into container B 15.625 times to get container B full of oil.

Thus, after she pours the 15th container, in the middle of the next one, the work will be done