Answer:
5 centimeters
Step-by-step explanation:
We know the equation to find volume is V = B x h, where B is the base of the prism. (It is also known as the simple V = l x w x h.)
No matter what equation you use, you will end up with V = l x w x h, since the base of a rectangular prism is length x width. So, we're going to plug in our known information to get 420 = 6 x 14 x h.
Then, we're going to multiply 6 x 14 to get 84. Now we have 420 = 84 x h. To isolate the h (in order to find what it is), we must divide both sides by 84.
420/84 = 5, so whats left of the equation is 5 = h, meaning your height is 5 centimeters.
