Question

The volume of a rectangular prism is 420 cubic centimeters. The length, L, is 6 centimeters and the width, W, is 14 centimeters. What is the height, H, in centimeters, of the rectangular prism?

Answer 1

5 centimeters

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.