Rearranging formulas, step by step

A formula is only useful in the direction you need it.

The question

Solve V = ⅓Bh for B.

Solve V = ⅓Bh for B

V = ⅓Bh
3V = Bh
= B
B =
  1. V = ⅓Bh is the volume of a cone or pyramid. To make B the subject, undo everything that is being done to it.
  2. Undo the next operation on both sides. V = ⅓Bh becomes 3V = Bh.
  3. Divide both sides by what multiplies it. 3V = Bh becomes 3V/h = B.
  4. Write it with the letter you want on the left. 3V/h = B becomes B = 3V/h.

How it works.

  1. 01

    V = ⅓Bh is the volume of a cone or pyramid. To make B the subject, undo everything that is being done to it.

  2. 02

    Undo the next operation on both sides. V = ⅓Bh becomes 3V = Bh.

  3. 03

    Divide both sides by what multiplies it. 3V = Bh becomes 3V/h = B.

  4. 04

    Write it with the letter you want on the left. 3V/h = B becomes B = 3V/h.