Question

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 units. How many 1/3 units does it take to fill the prism?

Answer 1

Answer:

108 cubes

Step-by-step explanation:

step 1

Find the volume of the cube with side length of 1/3 units

The volume of the cube is equal to

$V=b^3$

where

b is the side length

we have

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

substitute

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

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

step 2

To find how many cubes are needed to fill the prism, divide 4 cubic units (volume of the rectangular prism) by 1/27 cubic units (volume of one cube)

$4:\frac{1}{27}=4*27= 108\ cubes$