the internal dimension of a box are 15cm 12cm 9cm.how much cubes each of side 3cm can it contain?if height is made 6cm in place of 9cm how much such cubes then can it contain

Dear Student,

Please find below the solution to the asked query:

We have internal dimension of box 15 cm , 12 cm and 9 cm .

Also given dimension of cube = 3 cm 


We know volume of cuboid =   ( Length $\times$width $\times$ Height ) , So

Volume of given box = 15 $\times$ 12 $\times$ 9 = 1620 cm³

And we know volume of cube = ( Side )³ , So volume of given cube = 3³ = 27 cm³ .

Then ,

Total number of cubes can fit in given box  = $\frac{1620}{27}$ = 60                                              ( Ans )

And if height is made 6 cm in place of 9 cm , Then

Volume of given box = 15 $\times$ 12 $\times$ 6 = 1080 cm³

And

Now total number of cubes can fit in given box  = $\frac{1080}{27}$ = 40                                              ( Ans )

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