Question

ellen sells mugs that are in boxes in a shape of a cube the edges have a length of 1/2 foot ellen can completely fill a container in the shape of a rectangular prism with 378 boxes what is the volume of her container

Answer 1

Answer:  Volume of container would be 81648 cubic inches.

Step-by-step explanation:

Length of cube = $\dfrac{1}{2}\ foot=6\ inches$

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

$\dfrac{\text{Volume of container}}{\text{ Volume of cube}}$

$378=\dfrac{Volume}{6\times 6\times 6}\\\\378\times 216=Volume\\\\81648\ in^3=Volume$

Hence, Volume of container would be 81648 cubic inches.

Answer 2

1/2 foot is 6 inches 6 times the amount of sides the cube has (6) would be 36 square inches so take that by the amount of boxes can fit(378) would give you the answer of 13,608

(p.s i am only in middle school i kind of understand this and i think this is right but if not i am 100% sorry)