Final answer:
To find the number of erasers that can be packed in the box, calculate the volume of one eraser and divide the volume of the box by the volume of one eraser. You can pack 50 erasers in a box with a volume of 6,250 cm³.
Step-by-step explanation:
To find the number of erasers that can be packed in the box, we need to calculate the volume of one eraser and then divide the volume of the box by the volume of one eraser.
The volume of a cube is given by V = s³, where s is the length of one side.
Therefore, the volume of one eraser is 5 cm * 5 cm * 5 cm = 125 cm³.
To find the number of erasers, we divide the volume of the box (6,250 cm³) by the volume of one eraser (125 cm³): 6,250 cm³ / 125 cm³ = 50 erasers.
In conclusion, you can pack 50 erasers in a box with a volume of 6,250 cm³.
Learn more about Calculating the number of objects that can be packed in a container