Aright rectangular prism has these dimensions: length: fraction 1 and 1 over 2 units width: fraction 1 over 2 unit height: fraction 3 over 4 unit how many cubes of side length fraction 1 over 4 unit are required to completely pack the prism without any gap or overlap? 36 45 51 60

Hey there :)

The volume formula of a rectangular prism is
V = height x length x width

Given are:
Length = 
Width = 
Height = 

Lets find the volume:
V =  x  x 
   =   units³

The volume formula of a cube is
V = side³

Given is:
Side =   
        =  units³

To find how many cubes fit in the rectangular prism, we divide the volumes
Volume of prism divided by volume of cube
 ÷ 
Since it is a fraction that is involved in division, we find the reciprocal and multiply

=   x  64 
= 36

Your answer will be the 1st option

 

What the heck don’t understand