34.1k views
4 votes
The side length of a cube is quadrupled. Write a ratio to compare the volume of the original cube to the volume of the new cube.

User AdrianoKF
by
9.1k points

1 Answer

5 votes
The answer is 1:64

Let's say that the original cube had side lengths of 1 unit. The volume would be 1*1*1 = 1 cubic unit.

If we quadruple each side, then the new cube has side lengths of 4. The new volume is 4*4*4 = 64

The old volume (1 cubic unit) pairs up with the new volume (64 cubic units) to form the ratio 1:64

Side notes:
* The order is important. We cannot say 64:1 because the old volume is mentioned first

* We can write the equation y = 64*x where x is the old volume and y is the new volume.


User Vladimir Mandic
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.