Question

The formula for the volume of a pyramid is V=1/3Bh. Which of the following equations is equivalent to the given formula?

A) B=3V/h

B) B=3h/V

C) B=V-1/3/h

D) B=V+1/3/h

Answer 1

A) B=3V/h

Multiply both sides by 3 to get 3V=Bh. Divide both sides by h, and you get 3V/h=B

Answer 2

A) B = 3V/h

Explanation:

Given: The formula for the volume of a pyramid is V=1/3Bh.

From the above equation, we have to solve for B.

We use inverse operation to find B.

Multiply by reciprocal of 1/3 on both sides. the reciprocal of 1/3 is 3.

So, multiply by 3 on both sides, we get

3V = 3*1/3*B*h

3V = B*h

Now divide both sides by h, we get

3V/h = Bh/h

3V/h = B

Therefore, the answer is A) B = 3V/h