Problem How many cubes with side lengths of 1/3 does it take to fill the prism?

the length of the box is

1cm

height

2/3 cm

width

2 2/3

Guest Apr 5, 2019

#1**0 **

I'm assuming that side length of (1/3) = (1/3)cm

The volume of one cube = (1/3)^3 = 1/27 cm^3

Volume of the prism (box) =

Length * Height * Width =

( 1) ( 2/3) (2 2/3) =

(1) (2/3) (8/3) =

16/9 cm^3

So....the number of cubes that will fit = Volume of Prism / Volume of one cube =

(16/9) / (1/27) =

(16/9) * (27/1) =

16 * ( 27/9) =

16 * 3 =

48 cubes

CPhill Apr 5, 2019