Question

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

Answer 1

The ratio of the areas is 340/1158 = 170/579thus the ratio of the side lengths is sqrt(170)/sqrt(579)  = .5418the ratio of volumes is the side length ratio cubed = .5418^3 = .159Volume of smaller solid  = (.159)(1712) = 272.37