Question

How many 1/2 unit cubes can fit in a a prism with a volume of 6 cubic units

Answer 1

Answer:

48 cubes

Step-by-step explanation:

step 1

Find the volume of one 1/2 unit cube

The volume of the cube is given by

$V=b^3$

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

Divide the volume of the prism by the volume of one cube

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