Question

a cube shaped box has a volume of 125 cubic inches. if the box is packed full of cubes with edge lengths of 1/3 inch how many cubes can fit along one side of the box? Show how you know

Answer 1

Answer: There are 3375 cubes that can be fit along one side of the box.

Explanation:

Since we have given that

Volume of cube shaped box = 125 cubic inches

Length of small cubes =
`(1)/(3)\ inch`

So, volume of small cubes would be

`a^3=((1)/(3))^3=(1)/(27)`

so, Number of cubes that can be fit along one side of the box is given by

`125/ (1)/(27)\\\\=125* 27\\\\=3375`

Hence, there are 3375 cubes that can be fit along one side of the box.