Find Unknown Variables a, b, c in V=abc Equation | Volume 512cm^3

[besfort]

Homework Statement

The volume is 512cm^3. Known as V=abc; a = 2b, b = 2c. Find a, b, c

Homework Equations

V = 512cm^3.
a = 2b
b = 2c

The Attempt at a Solution

V=2b * 2c * c
V=2b * 2c^2
512cm^3=2b * 2c^2

 

[ap123]

512cm^3=2b * 2c^2

You know the relation between b and c, so you can write this expression in terms of 1 variable.

 

[besfort]

So this would be written as 2 * 2c * 2c^2 which would result to 8c^3, right?

 

[ap123]

So this would be written as 2 * 2c * 2c^2 which would result to 8c^3, right?

Yes :-)

 

[besfort]

I came to the result where V=8c^3 and c = 4 cm. Then b was found from the equation of 2c, and a was found by the equation of 2b.

I came to the result;
a = 16cm,
b = 8cm,
c = 4cm

V = 16cm * 8cm * 4cm
V = 512 cm^3

Which is correct. Thank you for the help!