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)?
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 =