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A rectangular prism with a volume of 5 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?

A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 13 how many 13 unit cubes does it take to fill the prism class=

Respuesta :

calculista

Answer:

135 cubes

Step-by-step explanation:

step 1

Find the volume of one cube

we know that

The volume of the cube is equal to

[tex]V=b^3[/tex]

where

b is the length side of the cube

we have

[tex]b=\frac{1}{3}\ units[/tex]

substitute

[tex]V=(\frac{1}{3})^3[/tex]

[tex]V=\frac{1}{27}\ units^3[/tex]

step 2

Find out how many 1/3 unit cubes does it take to fill the prism

Divide the volume of the prism by the volume of one cube    

so

[tex]5:\frac{1}{27}=5(27)= 135\ cubes[/tex]

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