Question

A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3

Answer 1

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

$V=b^3$

where

b is the length side of the cube

we have

$b=\frac{1}{3}\ units$

substitute

$V=(\frac{1}{3})^3$

$V=\frac{1}{27}\ units^3$

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

$5:\frac{1}{27}=5(27)= 135\ cubes$