Question

the scale factor of tw similar solids is 6.13. Determine the following: The ratio of their corresponding areas and the volume of the larger solid if the volume of the smaller solid is 432 in ^2

Answer 1

we know that
scale factor=6.13
scale factor²=area larger solid/area smaller solid
so
[6.13]²=37.58

the answer Part a) is
The ratio of their corresponding areas is 37.58

Part b)
scale factor³=volume larger solid/volume smaller solid
volume larger solid=volume smaller solid*scale factor³
volume larger solid=432*6.13³-------> 99509.64 in³

the answer Part b) is
the volume of the larger solid is 99509.64 in³