Two similar solids have volumes of 576 in³ and 1125 in³. If the smaller solid has a side length of 12 inches, how long is the corresponding side in the larger solid (in inches)?

chitsuii Jun 26, 2018

#1**+2 **

We need to take the cube root of the ratio of the volume of the larger solid to the smaller to find the scale factor

So we have ∛ [ 1125 / 576 ] = ∛ [ 125/64 ] = 5/4

So.....the correseponding side of the larger solid =

Side length of the smaller solid * ( scale factor of larger solid to the smaller )

12 * (5/4) =

60 / 4 =

15 inches

CPhill Jun 26, 2018