SOLUTION: A room has a length of 435cm, a width of 355cm, and a height of 244cm. How many 1.25mL cubes can fit in this room? Write the result in scientific notation.

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Question 594288: A room has a length of 435cm, a width of 355cm, and a height of 244cm. How many 1.25mL cubes can fit in this room? Write the result in scientific notation.
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113)   (Show Source): You can put this solution on YOUR website!
# cubes = (volume of room)/(volume of cube)

= (435 * 355 * 244)/(1.25) = 2,971,920 cubes

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

            The solutions by   @CubeyThePenguin  is INCORRECT.

            I came to bring you the correct solution.


Notice that   = 1.077217 cm.


Therefore, there are  435/1.077217 = 403 cubes in one dimension

                      355/1.077217 = 329 cubes in the other dimension

                      244/1.077217 = 226 cubes in the third dimension.


So, the final answer is  403*329*226 = 29964662  small cubes.


Solved (correctly).



/\/\/\/\/\/\/\/\/


        By the way, one-line calculation by  @Penguin has interior error,  which makes his solution nonsensical in degree  2.


        TWICE  a  NONSENSE  (!),  along and across  (!)




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