A rectangular box has interior dimensions 6-inches by 5-inches by 10-inches. The box is filled with as many solid 3-inch cubes as possible, with all of the cubes entirely inside the rectangular box. What percent of the volume of the box is taken up by the cubes?
A rectangular box has interior dimensions 6-inches by 5-inches by 10-inches. The box is filled with as many solid 3-inch cubes as possible, with all of the cubes entirely inside the rectangular box. What percent of the volume of the box is taken up by the cubes?
Volume of the box: V = 5*6*10 = 300 in³
Volume of the cube: Vc= 3³ = 27 in³
300 / 27 = 11.1111
11.1111 : 100% = 11 : X X = 99%
11 cubes take up 99% of the volume of the box.