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?

Guest Feb 12, 2020

#1**+2 **

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: V_{c}= 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. **

Dragan Feb 12, 2020