a rectangular prism has a length of 12 in a width of 5 in and a height of 4 and 1/4 in the prism is filled with cubes that have Edge length of fourth of an inch how many cubes need to fill the rectangular prism

The number of cubes = 11520 cubes

Step-by-step explanation:

∵ The length = 12, width = 5 and height = 4

∴ The volume = 12 * 5 * 4 = 240 in³

∵ The length of the cube = 1/4 in

∴ The volume of cube = (1/4) ³ = 1/64 in³

∵ 1/4 of the prism is filled

∴ 3/4 doesn't fill

∴ The empty volume = 3/4 * 240 = 180 in³

∴ The number of cubes = 180 : 1/64 = 11520 cubes