SOLUTION: Good afternoon Sir/Ma'am, This is my doubt -- "A sphere of radius 5 cm is melted down and made into a solid cube. Find the length of a side of the cube." I would really appre

Algebra ->  Volume -> SOLUTION: Good afternoon Sir/Ma'am, This is my doubt -- "A sphere of radius 5 cm is melted down and made into a solid cube. Find the length of a side of the cube." I would really appre      Log On


   

Question 1174181: Good afternoon Sir/Ma'am,
This is my doubt --
"A sphere of radius 5 cm is melted down and made into a solid cube. Find the length of a side of the cube."
I would really appreciate if you helped me with the answer to this question as this decides my final grade in Math. =)
Sincerely,
Kev
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

The volume of the sphere is  %284%2F3%29%2Api%2Ar%5E3 = %284%2F3%29%2A3.14159%2A5%5E3 = 523.5983 cm^3.


It MUST be equal to the volume of a cube  


    a%5E3 = 523.5983  cm^3.


Hence,   a = root%283%2C+523.5983%29 = 8.06 cm   (rounded).    ANSWER

Solved.

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In your post, you mentioned about some doubts.

It should be no any doubts when solving so simple problem . . .