Answer :
Final answer:
To determine the scale factor between two volumes, calculate the cube root of the ratio of the original volume to the scaled-down volume. In this case, the scale factor is the cube root of 15.625, which is precisely 2.5.
Explanation:
To find the scale factor when scaling down from a volume of 3125 ft³ to a volume of 200 ft³, you can set up a ratio of the volumes and solve for the cubic root, because the scale factor for volume is proportional to the cube of the scale factor for linear dimensions. The ratio of the volumes is V1/V2, which is 3125/200. Simplifying this ratio, we get 15.625. Therefore, the cube root of 15.625 gives us the linear scale factor. Calculating the cube root can either be done using a calculator or by approximating it to be about 2.5, as 2.5³ is 15.625 exactly.
Answer:
2/5 or .4
Step-by-step explanation:
the first answer is correct. This is just in case they ask for the answer as a fraction. :)
