Arectangular prism has a length of 12 in., a width of 5 in., and a height of 414 in.

the prism is filled with cubes that have edge lengths of 14 in.

how many cubes are needed to fill the rectangular prism?

Step-by-step explanation:

The volume of a rectangular prism is

Where is the length, is the height and is the width.

In this case, we have

Replacing this values we can find the volume

Now, the cubes needed have edge lengths of 14 in, that means their volume is

To know how many cubes are needed, we just need to divide

Therefore, there are needed 9 cubes.

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step-by-step explanation: