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Nadya filled a right rectangular prism with cubes that are 1/2 inch long each edge. She stacked 80 cubes in the prism and filled it to capacity. What is the volume of the prism?

Respuesta :

Answer

The volume of right rectangular prism 10 cubic inch.

Step-by-step explanation:

The volume of cube[tex]=a^{3}[/tex]

each edge of cube[tex]=\frac{1}{2}[/tex] inch

so,

the volume of cube[tex]=\left [ \frac{1}{2} \right ]^{^{3}}[/tex]

one cube of  volume [tex]=\frac{1}{8}[/tex] cubic inch.

[tex]80[/tex] cube of volume[tex]=80\times\frac{1}{8}=10[/tex] cubic inch

so the volume of rectangular prisme equal to volume of 80 cube.

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