A rectangular prism with a volume of 444 cubic units is filled with cubes with side lengths of \dfrac13

Mathematics

2 answers:

IrinaK [193]4 years ago

8 0

Answer:

108 cubes

Step-by-step explanation:

Lengths of one of the cube s= $\dfrac{1}{3}$

Volume of a Cube $=s^3$

Volume of one of the Cubes $=(\dfrac{1}{3})^3=\dfrac{1}{27}$

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.

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

It takes 108 cubes to fill the rectangular prism.

dmitriy555 [2]4 years ago

7 0

Answer:

108

Step-by-step explanation:

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