Final answer:
The granary's volume is 0.000546 cubic meters, much smaller than even a single bag's volume of 0.48 cubic meters, indicating that none of the bags can fit into the granary.
Step-by-step explanation:
The question asks how many bags of grain can fit into a granary with certain dimensions. However, there seems to be a discrepancy in the units provided as the granary dimensions are in centimeters and the bag's volume is in cubic meters. First, we need to convert the granary's dimensions from centimeters to meters to ensure that the units are consistent before we calculate the volume of the granary. The granary's dimensions are 13 cm, 7 cm, and 6 cm, which translates to 0.13 m, 0.07 m, and 0.06 m.
Now, the volume of the granary (in cubic meters) can be calculated by multiplying these dimensions together:
V_granary
= 0.13 m × 0.07 m × 0.06 m = 0.000546 m³
Since each bag occupies 0.48 cubic meters, we can determine the number of bags by dividing the granary volume by the bag volume:
Number of bags
= V_granary / Volume per bag
= 0.000546 m³ / 0.48 m³
= 0.0011375
However, we can see that the granary's volume is significantly less than even one bag's volume. Thus, no bags can fit into the granary.
Therefore, there might be an error in the dimensions provided for the granary or the volume of the bags, as these don't seem practical or matching the usual size comparison expected for such a scenario