Question

There are two cubes. One has a volume of 2,744m 3 and the second has a volume of 729 m 3 . What is the scale factor of the smaller cube to the larger cube?(1 point) Responses 196:61 196:61 14:9 14:9 81:196 81:196 9:14

Answer 1

Since the volume is proportional to the cube of the scale factor, the scale factor would be the cube root of the ratio of the volumes.

Volume ratio = 729 / 2744 = 9 / 34
Cube root of 9/34 ≈ 0.664

So, the scale factor of the smaller cube to the larger cube is approximately 0.664.