Arectangular prism has a length of 20 in., a width of 2 in., and a height of 3 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? enter your answer in the box. to fill the rectangular prism, cubes are needed.

8320 cubes.

Step-by-step explanation:

1. Calculate the volume of the rectangular prism:

Where l is the lenght, w is the width and h is the height.

Substitute values.

(You can convert  3 1/4 to decimal by dividing the numerator by the denominator of the fraction and add this to the whole part: 3+0.25=3.25)

Then:

2. Calculate the volume of a cube:

Where s is the lenght of any side.

Then:

3. To calculate the number of cubes that are needed to fill the rectangular prism (which you can call n) , you must divide the volume of the prism by the volume of a cube. Then:

cubes

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