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? 
:
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
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See if this checks out; calculate: 6^3 - 4^3