Final answer:
The volume of one block with a side length of 3n centimeters is 27n³ cm³, and the volume of the box with a side length of 4n³ centimeters is 64n³ cm³.
Step-by-step explanation:
To calculate the volume of the cube-shaped blocks that Anesha needs to store, we use the formula for the volume of a cube, which is side length cubed (s³). Therefore, the volume of one block with a side length of 3n centimeters is:
Volume of one block (Vblock) = (3n)³ = 27n³ cm³
Similarly, the volume of the large cube-shaped box with a side length of 4n³ centimeters is calculated using the same formula:
Volume of the box (Vbox) = (4n³)³ = 64n³ cm³
In summary, the expressions for the volumes are 27n³ cm³ for one block and 64n³ cm³ for the cube-shaped box.