A cube-shaped container has an edge length of 12 in. The container is filled with smaller plastic cubes that each have an edge length of 3 in. How many cubes are needed to fill the container?
Accepted Solution
A:
volume of container=123=(12)(12)(12)=1728volume of container=123=(12)(12)(12)=1728The volume of the container is 1728 in³.volume of a plastic cube=33=(3)(3)(3)=27volume of a plastic cube=33=(3)(3)(3)=27The volume of one plastic cube is 27 in³.number of cubes to fill container=1728÷27=64number of cubes to fill container=1728÷27=64So 64 plastic cubes are needed to fill the container.