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A rectangular prism measures 2 2/5 inches by 3 1/5 inches by 2 inch. Priya said, it takes more cubes with edge length 2/5 inch cubes than cubes with edge length 1/5 to pack the prism. Do you agree?

Respuesta :

MrRamon
I don't agree.
Cubes with the edge length of 2/5 have a volume of 0.064 while 1/5 edge length had a volume of 0.008 it will take 8 times more cubes to fill it with the 1/5 edge length squares than the 2/5 edge length squares.

No, she is not correct.

The volume of cubes with side 2/5 inches is : [tex](\frac{2}{5}) ^{3}[/tex] = 8/125 [tex]in^{3}[/tex]

and the volume of cubes with side 1/5 inches is : [tex](\frac{1}{5} )^{3}[/tex] = 1/125 [tex]in^{3}[/tex]

The cubes with sides 1/5 inches have 8 times lesser volume than that of the cubes with sides 2/5 inches.

So, to fill up the same volume, we would require 8 times more cubes of side 1/5 inches than cubes of side 2/5 inches.

Learn more:

https://brainly.com/question/23984629

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