Question

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?

Answer 1

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`