SOLUTION: The ratio of the sides of two cubes is 2:3 and the difference of their volume is 152 cm^3. What is the length of the side of the bigger cube? Thank you very much :)

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of the sides of two cubes is 2:3 and the difference of their volume is 152 cm^3. What is the length of the side of the bigger cube? Thank you very much :)      Log On


   

Question 884809: The ratio of the sides of two cubes is 2:3 and the difference of their volume is 152 cm^3. What is the length of the side of the bigger cube?
Thank you very much :)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of the sides of two cubes is 2:3 and the difference of their volume is 152 cm^3.
What is the length of the side of the bigger cube?
:
Let x = the multiplier
then
2x = side of the smaller cube
and
3x = side of the larger
:
Then we can write an equation for the problem like this:
(3x)^3 - (2x)^3 = 152
27x^3 - 8x^3 = 152
19x^3 = 152
x^3 = 152/19
x^3 = 8
Find the cube root of 8
x = 2
therefore
3(2) = 6 cm is side of the larger cube
:
:
:
See if this checks out; calculate: 6^3 - 4^3