The surface areas of two similar solids are 384 yd2 and 1057 yd2. the volume of the larger solid is 1795 yd3. what is the volume of the smaller solid?

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.

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