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

48 cubes

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=(1)/(2)\ units`

substitute

`V=((1)/(2))^(3)`

`V=(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:(1)/(8)=48\ cubes`