Question

A right 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

Answer 1

awnser is 36

Explanation:

Answer 2

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