Respuesta :

we have to calculate the volume of the right rectangular prism.
lenght=4 1/2 in=(4+1/2) in=9/2 in
width=5 in
height=3 3/4 in=(3+3/4) in=15/4 in

Volume (right rectangular prism = lenght x width x height.
volume=9/2 in * 5 in * 15/4 in=675/8 in³

we calculate the volume of this little cube.
volume=side³
volume=(1/4 in )³=1/64 in³

Now, we calculate the number of small cubes are needed to fit the right rectangular pris by the rule of three.

1 small cube----------------1/64 in³
x---------------------------------675/8 in³

x=(1 small cube * 675/8 in³) / 1/64 in³=5400 small cubes.

Answer: we need 5400 small cubes to fit the right rectangular prism.

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