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

Respuesta :

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

Step-by-step explanation:

Since we have given that

Volume of cube shaped box = 125 cubic inches

Length of small cubes = [tex]\dfrac{1}{3}\ inch[/tex]

So, volume of small cubes would be

[tex]a^3=(\dfrac{1}{3})^3=\dfrac{1}{27}[/tex]

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

[tex]125\div \dfrac{1}{27}\\\\=125\times 27\\\\=3375[/tex]

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

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