SOLUTION: the ratio of the sides of two cubes is 2:3 and the different of their voloumes is 152. find the side of the bigger cube.
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Question 606143: the ratio of the sides of two cubes is 2:3 and the different of their voloumes is 152. find the side of the bigger cube.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the volume of the smaller cube =
Let the volume of the bigger cube =
Let the side of the smaller cube =
Let the side of the bigger cube =
----------------
given:
(1)
(2)
-----------------
The formulas for volume are
-----------------
Substituting into (2),
(2)
(2)
Substitue (1) into (2)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
The side of the bigger cube is 6
check:
and
(2)
(2)
(2)
(2)
OK
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