1. What is the scale factor of a cube with volume 1331^3 to a cube with volume 85184^3?
A) 121:1,936
B) 1:64
C) 4:1
D) 1:4
I'm not really quite sure how to do this question, but I got 1:4, is that correct?
scale factor; 1331/85184 =1:64
To find the scale factor between two cubes, you need to take the cube root of the ratio of their volumes.
In this case, the volume of the first cube is 1331^3 and the volume of the second cube is 85184^3.
To calculate the scale factor, divide the volume of the second cube by the volume of the first cube:
(85184^3) / (1331^3) = 64
Now, take the cube root of this ratio to find the scale factor:
∛64 = 4
So, the scale factor of the cube with volume 1331^3 to the cube with volume 85184^3 is 4:1.
Therefore, your answer of 1:4 is incorrect. The correct answer is D) 1:4.