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Ethan has partially filled the prism with 8 unit cubes. How many more cubes does he need to fill the prism completely A:10 B:15 C:19 D:21 Help me please!!!???!

User Yalian
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1 Answer

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Corrected Question

Ethan has partially filled the prism with 8 unit cubes.

A rectangular prism with length, height, and width of 3.

How many more cubes does he need to fill the prism completely?

Answer:

(C)19

Explanation:

First, we determine the volume of the rectangular prism

Volume of a rectangular prism = Length X Height X Width

=3 X 3 X 3=27 cubic units

Volume of the Cube=1 cubic unit

The number of unit cubes that will fill the rectangular prism = 27

Ethan has partially filled the prism with 8 unit cubes, we subtract 8 from 27 to determine the number left to fill the prism

27-8=19.

Therefore, Ethan will need 19 more cubes to fill the rectangular prism.

The correct option is C

User Jeangelj
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