Aright rectangular prism has these dimensions: length ? fraction 1 and 1 over 2 units width ? fraction 1 over 2 unit height ? fraction 3 over 4 unit how many cubes of side length fraction 1 over 4 unit are required to completely pack the prism without any gap or overlap? 36 45 51 60

The volume of the rectangular prism is length x width x height:

Volume = 1 1/2 x 1/2 x 3/4 = 9/16 cubic units.

The volume of cube is length^3 = 1/4^3 = 1/64

Divide the volume of the rectangular prism by the volume of the cube:

Number of cubes = 9/16 / 1/64 = 36

The answer is 36

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step-by-step explanation:

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