A woman drives 47 3/5 miles to work each day. She stops at a coffee shop that is 7/10 of the way to her job. How far does the woman drive before she
stops for coffee?

The volume of the smaller solid is approximately 393.051 yd³.

Step-by-step explanation:

Since, if two solids are similar then the scale factor of similarity is the square root of the ratio of their corresponding surface areas.

Given the surface areas of two similar solids are 384 yd² and 1057 yd²,

Thus,

Now, the ratio of volumes of two similar solids is cube of the scalar factor of similarity,

Here, the volume of the larger solid is 1795 yd³,

Let V be the area of the smaller solid,

Hence, the volume of the smaller solid is approximately 393.051 yd³.