What is the maximum number of cubes with a side of length 1/3 that can fit inside a cube with a side of length 1 ?
1.3
2.9
3.18
4.27
You can put 3 1/3rds in one row and you have 3 rows. 3*3 = ?
To find the maximum number of smaller cubes that can fit inside a larger cube, you need to determine how many smaller cubes can fit on each edge of the larger cube.
In this case, we have a larger cube with a side length of 1 and smaller cubes with a side length of 1/3.
To find the number of smaller cubes that can fit on each edge, we divide the side length of the larger cube by the side length of the smaller cube.
1 / (1/3) = 3.
So, we can fit 3 smaller cubes on each edge of the larger cube.
To find the total number of smaller cubes that can fit inside the larger cube, we need to calculate the total number of smaller cubes in one layer and then multiply it by the number of layers.
The total number of smaller cubes in one layer is found by multiplying the number of cubes on one edge by itself.
3 * 3 = 9.
Since there are 3 layers (one on top, one in the middle, and one on the bottom), we multiply the total number of smaller cubes in one layer by 3.
9 * 3 = 27.
So, the maximum number of cubes with a side length of 1/3 that can fit inside a cube with a side length of 1 is 27.
Therefore, the correct answer is 4.27.