Question

How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?

Answer 1

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of  the prism=$Length*Width*Height$

$Length=2 cm\\\\ Width=1 cm\\ \\ Height=3/2 cm = 1.5 cm$

Volume of Prism = $2*1*1.5$

                      $=3.0 cm^3$

Volume of the Cube:

                                    $Side*Side*Side\\\\=0.5*0.5*0.5$

                                      $= 0.125 cm^3$

Number of cubes that fills the prism:

                                        $3.0/0.125\\\\=24 cubes$

So, the number of cubes that can fill the prism is '24'