A cube has edges that are 6 centimeters long. How many times greater is the volume of a cube with 9 centimeter sides?

Question

A cube has edges that are 6 centimeters long.  How many times greater is the volume of a cube with 9 centimeter sides?

solomonzelman · Answer

scale factor of 3/2

precal · Answer

actually 1.5 to the 3rd power  
therefore 3.375 times

solomonzelman · Answer

lets say cube 1 is with each side of c
and cube cube 2 with each side (c × v)

Area of Cube 1:   $\LARGE\color{blue}{ \bf   c^{3}   }$
Area of Cube 2:   $\LARGE\color{blue}{ \bf   (cv)^{3}=c^{3} \times v^{3}   }$
So the volume of the second cube is v^3 times greater.

solomonzelman · Answer

in your case the "c" is 6 and v is 3/2

precal · Answer

yes, that is correct.  Question is how many times greater is the volume so that would be 3.375 times greater

solomonzelman · Answer

yes, you are correct.

precal · Answer

Thanks

solomonzelman · Answer

Anytime !