Question

The scale factor of two similar solids is 6:13 determine the ratio of their corresponding areas and the volume of the larger solid if the volume of the smaller solid is 432in2

Answer 1

1. If the scale factor is k=6:13, then the ratio of their corresponding area is $k^{2}=6^{2} :13^{2} =36:169$;
2. $\frac{V_{small\ solid}}{V_{big\ solid}} =k^3= \frac{6^{3}}{13^{3}} = \frac{216}{2197}$.