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

Answer:

$48\ cubes$

Step-by-step 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

$b=\frac{1}{2}\ unit$

substitute

$V=(\frac{1}{2})^{3}$

$V=\frac{1}{8}\ unit^{3}$

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

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

Answer 2

Answer

48

Step-by-step 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