Question

The volume of 2 similar solids are 27 ft3 and 216 ft3. The surface area of the larger solid is 300 ft2. What is the surface area of the smaller solid? Round your answer to the nearest tenths place

Answer 1

volume ratio = 216/27, and is the cube of the linear scale factor.

So, each side of the larger is 6/3 = 2 times the smaller.

So, the area of the larger is 2^2 = 4 times the smaller.