A rectangular prism with a volume of 444 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?

Respuesta :

Answer:

108 cubes

Step-by-step explanation:

Lengths of one of the cube s=[tex]\dfrac{1}{3}[/tex]

Volume of a Cube  [tex]=s^3[/tex]

Volume of one of the Cubes [tex]=(\dfrac{1}{3})^3=\dfrac{1}{27}[/tex]

The volume of the rectangular prism is 4 cubic units.

Therefore, to find the number of cubes it takes to fill the prism, we divide the volume of the prism by the volume of the cube.

[tex]\text{Volume of Prism/Volume of Cube}=4 \div \dfrac{1}{27}\\=4 X 27 \\=108[/tex]

It takes 108 cubes to fill the rectangular prism.

Answer:

108

Step-by-step explanation: