Question

A rectangular prism with a volume of 666 cubic units is filled with cubes with side lengths of \dfrac12 2 1 ? start fraction, 1, divided by, 2, end fraction unit. How many \dfrac12 2 1 ? start fraction, 1, divided by, 2, end fraction unit cubes does it take to fill the prism?

Answer 1

48

Explanation:

You probably copy and pasted the question from khan academy or soemthing cuz this is what happens but i verifyed that its 48 trust me

Answer 2

`48\ cubes`

Explanation:

we know that

The volume of the rectangular prism is equal to

`V=6\ unit^(3)`

step 1

Find the volume of one cube

The volume of the cube is equal to

`V=b^(3)`

where

b is the side length of the cube

we have

`b=(1)/(2)\ unit`

substitute

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

`V=(1)/(8)\ unit^(3)`

step 2

To find out the number of cubes needed to fill the prism, divide the volume of the rectangular prism by the volume of one cube

so

`6/(1/8)=48\ cubes`