The formula for finding the volume of a pyramid is v = bh/3. What formula should you use to find the

Question

The formula for finding the volume of a pyramid is v = bh/3. What formula should you use to find the altitude h?

A. h = 3v/b

B. h = v/3b

C. h = 3b/v

D. h = 3bv

Answer 1

Given that the volume, v, of a pyramid is defined by the following formula:     v = bh/3   ...

...then to find the formula that defines the altitude, h, you need to isolate the variable is question (h) to one side of the equation. To do so, first multiply both sides of the equation by 3 then divide both sides of the equation by b:

     v = bh/3

     3(v) =  3 (bh/ 3 )

     3v = bh

     (3v)/b = ( b h)/ b 

     3v/b = h

Thus, the altitude, h, of a pyramid, given the pyramid's volume, is defined by the following formula: 

          h = 3v/b   (answer choice A)