Question

A rectangular prism is completely packed with 180 cubes of edge length 1/3 inch without any gap or overlap

Answer 1

Given the cube has a length of 1 over 3 in. The volume of the cube was:
V=length*width*height
v=1/3*1/3*1/3
V=(1/3)^3
V=1/27 in^3
thus the volume of the prism will be given by:
volume=[volume of cube]*[number of cubes]
volume=1/27*180=6 2/3 in^3