Question

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 cubic units

Answer 1

108 cubes

Explanation:

`V_p=4\\\\\text{Calculate the volume of a cube:}\\\\V_(c)=\left((1)/(3)\right)^3=(1)/(27)\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\(V_p)/(V_c)=(4)/((1)/(27))=4\cdot27=108`