Question

A rectangular prism with a avolume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 units does it take to fill the prism?

Answer 1

Answer:

48 cubes

Step-by-step explanation:

The complete question is

A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?

step 1

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

where

b is the length side of the cube

we have

$b=\frac{1}{2}\ units$

substitute

$V=(\frac{1}{2})^{3}$

$V=\frac{1}{8}\ units^{3}$

step 2

To find out how many half-unit cubes are needed to fill the prism, divide the volume of the prism by the volume of the cube

$6:\frac{1}{8}=48\ cubes$