how many layers of cubes are in 48 cubes
It could be
one layer of 48
two layers of 24
three layers of 16
four layers of 12
six layers of 8
or vice versa
48 layers of 1
25 layers of 2
etc.
To find out how many layers of cubes are in 48 cubes, we need to determine the maximum number of cubes that can fit in a single layer. The number of cubes in each layer will be a perfect square.
We can start by finding the largest perfect square number less than or equal to 48, which is 36 (since 6 * 6 = 36). This means that we can make a layer of 36 cubes.
Next, we subtract the number of cubes in that layer (36) from the total number of cubes we have (48).
48 - 36 = 12
Since we still have 12 cubes remaining, we can continue to add another layer. However, we need to find a smaller perfect square number than the previous one.
The largest perfect square less than 12 is 9 (since 3 * 3 = 9). So, we can add another layer of 9 cubes.
Now, we have:
- Layer 1: 36 cubes
- Layer 2: 9 cubes
Since there are no cubes left, we stop here.
In total, there are two layers of cubes in 48 cubes.