A rectangle prism has a length of 20 in., width of 2., and a height of 3 1/4 Prism is filled with cubes that have edges lengths of 1/4 inch how many cubes are needed in a rectangle prism

The answer to your question is 8320 cubes

Step-by-step explanation:

Data

Rectangular prism Cubes

length = 20 in side = 1/4

width = 2 in

height = 3 1/4 in

Process

1. - Calculate the volume of the Rectangle prism

Volume = length x width x height

Volume = 20 x 2 x 3.25

= 130 in³

2. - Calculate the volume of the Cube

Volume = side x side x side

Volume = 0.25 x 0.25 x 0.25

= 0.0156 in³

3. - Divide the volume of the rectangular prism by the volume of the cube

Number of cubes = 130 / 0.0156

= 8320 cubes