Question

A rectangular 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?

Answer 1

Answer: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. :)

Explanation:

Answer 2

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. :)