The surface area of two similar solids are 340 yd^2 and 1,158 yd^2. the volume of the larger solid is 1,712 yd^3 what is the volume of the smaller solid

The first thing we must do for this case is find the scale factor.

We have then:

Rewriting we have:

Then, we look for the value of the smallest solid volume.

For this, we have the following relationship.

Where,

V1: volume of the largest solid

V2: volume of the smallest solid

k: scale factor

Clearing V2 we have:

Substituting values we have:

the volume of the smaller solid is 293.6 yd^3

answer: -8.2562234e+13