SOLUTION: How can you use the Power of a Quotient Property to find how many times greater the volume of Cube B the the volume of Cube A?

Algebra.Com
Question 1029632: How can you use the Power of a Quotient Property to find how many times greater the volume of Cube B the the volume of Cube A?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How can you use the Power of a Quotient Property to find how many times greater the volume of Cube B the the volume of Cube A?
-----
Comparing a^3 to b^3
If b^3 is k times b^3
a^3 = kb^3
k = a^3/b^3
k = (a/b)^3
a/b = k^(1/3)
a = k^(1/3)*b
------
a = (cbrt(k))*b
-------
Cheers,
Stan H.
------------------

RELATED QUESTIONS

karina was comparing the volume of a 20-inch cube to the volume of a 10-inch cube . how... (answered by TimothyLamb)
How do you find the surface area to volume of a cube with just the... (answered by solver91311)
How do you find the volume of a... (answered by nerdybill)
how do you find the volume of a cube (answered by stanbon)
How can you use the Quotient of a Power Property to explain the definition of x^-n?... (answered by richard1234)
The volume of a cube is 125 cm3. How do you find the... (answered by Jeff Gordon)
The volume of a cube is 125 cm3. How do you find... (answered by Jeff Gordon)
A cube has edges that are 6 centimeters long. How many times greater is the volume of a... (answered by mananth)
Find the side length Of A cube With the volume 216cm to the third power (answered by rfer)