A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction unit. How many \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction unit cubes does it take to fill the prism?

108 cubes

Step-by-step explanation:

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 . How many 1/3 unit cubes does it take to fill the prism?

Step 1

We find the volume of the cubes

Side length = 1/3 units

Volume of a cube = Side length ³

Hence,

(1/3 units)³ = 1/27 cubic units

Step 2

A rectangular prism with a volume of 4 cubic units.

The number of 1/3 unit cubes that would fill this rectangular mrism is calculated as:

4 cubic units ÷ 1/27 cubic units

= 4 ÷ 1/27

= 4 × 27/1

= 108 cubes

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