I am having trouble working a geometric equation backwards with ratios on the base length and height

Question

I am stuck trying to properly simplify this equation to make it workable on my own. (volume equation for pyramids)

 

6=(1/3)Bh

 

Where the height has a 2:3 ratio to the base length. i.e. h=2x b=3x B=3x² , right?

 

Please help me to simplify this properly (variable wise), BUT please do not solve the entire problem.

Thank you.

Answer 1

6 = (1/3)(B)(h)

6 = (1/3)(3x²)(2x)           substituting your values

6 = (x²)(2x)                    simplify

 

Solve for "x."

Substitute into your values.