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?

For similar triangles, the ratio of the corresponding sides are equal. To determine the common ratio, we take the square root of the ratio of the given areas.

ratio = sqrt (384 / 1057)

ratio = 384/1057

Then, for the volume, we have to cube the ratio calculated above. If we let x be the value of the volume of the smaller solid.

(384/1057) ^3 = x/1795

x = 86 yd

Thus, the volume of the smaller figure is 86 yd³.