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?

Question

asked Jun 25, 2021 84.1k views

1 Answer

Fpbhb · Answer 1 · 2021-06-30T16:22:00+0000

Answer:

135 cubes

Explanation:

step 1

Find the volume of one cube

we know that

The volume of the cube is equal to

V=b^3

where

b is the length side of the cube

we have

$b=(1)/(3)\ units$

substitute

V=((1)/(3))^3

$V=(1)/(27)\ units^3$

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

$5:(1)/(27)=5(27)= 135\ cubes$