Question

How do you solve for b in `V= 1/3hb`?

Answer 1

See the entire solution process below:

Explanation:

Multiply each side of the equation by `color(red)(3)/color(blue)(h)` to solve for `b` while keeping the equation balanced:

`color(red)(3)/color(blue)(h) xx V = color(red)(3)/color(blue)(h) xx 1/3hb`

`(3V)/h = cancel(color(red)(3))/cancel(color(blue)(h)) xx 1/color(red)(cancel(color(black)(3)))color(blue)(cancel(color(black)(h)))b`

`(3V)/h = b`

`b = (3V)/h`