The number of cubes needed to fill the rectangular prism 4608 cubes.
<h3>How to find volume of rectangular prism and cube?</h3>
volume of rectangular prism = lwh
where
- l =length
- w = width
- h = height
Therefore,
volume of the rectangular prism = 8 × 4 × 9 / 4 = 72 inches³
volume of the cube = l³
where
Therefore,
volume = (1 / 4)³
volume of the cube = 1 / 64 inches³
Therefore,
The number of cubes needed to fill the rectangular prism = 72 ÷ 1 / 64
The number of cubes needed to fill the rectangular prism = 72 × 64 = 4608
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