Arectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in. the prism is filled with cubes that have edge lengths of 1/4 in. how many cubes are needed to fill the rectangular prism?

Hey there!

To start, you must first find the volume of the rectangular prism by multiplying its length, width, and height together:
8*4*2 1/4
=72

Now, find the volume of each cube. Knowing that cubes have the same length, width, and height, you can simplify multiplt 1/4*1/4*1/4 to find the volume of one cube. This would be 1/64.

Finally, to find how many cubes will fit into the rectangular prism, you must divide the volume of the prism by the volume of the cube:
72÷1/64

This should simplify to 4608.

Therefore, your final answer would be that 4,608 cubes fit inside the rectangular prism. :)