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Small cubes with edge lengths of inch will be packed into the right rectangleprism shown. How many small cubes are needed to completely fill the rightrectangular prism?1518157|312ýva -OLolaHin.45oloon-)145585X13ų32In.45font15519وکل

Small cubes with edge lengths of inch will be packed into the right rectangleprism shown How many small cubes are needed to completely fill the rightrectangular class=

Respuesta :

First, calculate if it is possible to cover the 'bottom' of the prism with 1/4in cubes, as shown below

Therefore, to cover the bottom of the prism one needs

[tex]18*18+2*18=18*20=360[/tex]

360 cubes.

Now, considering the height of the prism,

[tex]\frac{3.25}{0.25}=13[/tex]

Thus, in total, one requires,

[tex]360*13=4680[/tex]

4680 cubes.

The answer is 4680 small cubes

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