125 small cubes like the one below are arranges to make a larger cube. How many small cubes make up the width?
1 Answer
Feb 16, 2018
5
Explanation:
I am assuming 125 identical cubes with edge length
Hmm...
Using the fact that
Now, if we stack 125 of them, the volume of the larger cube is
Also, the larger cube has an edge length
Using this, we see that
We can now solve this to find
=>
=>
=>
=>
This tells us that the edge length of our larger cube has to be 5 times the length of the edge length of our smaller cube.
If we were trying to compose the larger cube with smaller cubes, 5 shorter edges have to be put together take the place of one longer edge.
Therefore, 5 cubes make up the width.