SOLUTION: the internal dimensions of a box are 120cm , 50cm, and 80cm . How many cubes each of edge 7cm can be packed in the box each faces parallel to said of the box with faces parallel to

Question 1000086: the internal dimensions of a box are 120cm , 50cm, and 80cm . How many cubes each of edge 7cm can be packed in the box each faces parallel to said of the box with faces parallel to side of the box . Also find space left in empty box.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Well 7 goes into 120 ==> 17 times (one cm left over)
7 goes into 50 ==> 7 times (one cm left over)
7 goes into 80 ==> 11 times (three cm left over)
Thus
17 x 7 x 11 = 1309 cubes can fit.
Each cube has a volume of 7^3 = 343 cm^3.
They take up a volume of 1309 x 343 = 448987 cm^3
The box has a volume of 120 x 50 x 80 = 480000 cm^3
leaving 31013 cm^3 left over.
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