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A box is in the shape of a rectangular prism. kristi is trying to ship boxes of her homemade granola trail mix. the box she is using to ship has the dimensions of 18in by 24in by 12in. each trail mix box has dimensions of 4in by 3in by 3in. how many trail mix boxes will fit into the box to be shipped? explain how you got your answer.

Sagot :

The number of rectangular trail mix box that will fit into the rectangular box to be shipped is 144.

Volume of a rectangular prism

The volume of a rectangular prism is represented as follows;

volume of rectangular prism = lwh

where

  • l = length
  • w = width
  • h = height

Therefore,

volume of the box = 18 × 24 × 12 = 5184 inches³

Therefore, the volume of each trail mix box is as follows:

volume = 4 × 3 × 3 = 36 inches³

Therefore,

number of trail mix box that can fit the box to be shipped = 5184 / 36 = 144

learn more on rectangular prism here: https://brainly.com/question/5309082

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