There are two cubes. One has a volume of 2,744m3 and the second has a volume of 729 m3 . What is the scale factor of the smaller cube to the larger cube?(1 point) Responses
9:14
196:61
81:196
14:9
The correct answer is 9:14.
To find the scale factor, divide the volume of the larger cube by the volume of the smaller cube:
2744 / 729 = 3.76 (approximately)
Since the scale factor is the same for each dimension, we take the cube root of 3.76 to get the side length scale factor:
∛3.76 ≈ 1.82
So, the smaller cube is approximately 1.82 times smaller than the larger cube, which can be simplified to a scale factor of 9:14.