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A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.

The prism is filled with cubes that have edge lengths of 14 in.

How many cubes are needed to fill the rectangular prism?



Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.

Respuesta :

The number of cubes needed to fill the rectangular prism 4608 cubes.

How to find volume of rectangular prism and cube?

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

  • l = length

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

learn more on volume here;https://brainly.com/question/14996332

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