Question

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?

Answer 1

The volume of right rectangular prism 10 cubic inch.

Explanation:

The volume of cube
`=a^(3)`

each edge of cube
`=(1)/(2)` inch

so,

the volume of cube
`=\left [ (1)/(2) \right ]^{^(3)}`

one cube of volume
`=(1)/(8)` cubic inch.

`80` cube of volume
`=80*(1)/(8)=10` cubic inch

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