Answer: Volume of container would be 81648 cubic inches.
Step-by-step explanation:
Length of cube = [tex]\dfrac{1}{2}\ foot=6\ inches[/tex]
Number of boxes = 378
As we have given that
shape of cube completely fill a container of rectangular prism shape and it fills 378 boxes.
So,Number of boxes is given by
[tex]\dfrac{\text{Volume of container}}{\text{ Volume of cube}}[/tex]
[tex]378=\dfrac{Volume}{6\times 6\times 6}\\\\378\times 216=Volume\\\\81648\ in^3=Volume[/tex]
Hence, Volume of container would be 81648 cubic inches.
The volume of a rectangular prism is 81648cm³
The formula for calculating the volume of box is expressed as:
V = s³
Given that the length of the container is 0.5 feet, the length in inches is 6 inches
Volume = 6³ = 216in³
This shows that a box has a volume of 216cm³
If there are 378 boxes, hence the volume of the prism is 216 × 378 = 81648cm³
Hence the volume of a rectangular prism is 81648cm³
Learn more on volume of prism here: https://brainly.com/question/23963432
