Question

How are the volume formulas for prisms and cylinders similar? How are they different?

Answer 1

They are both similar in the way that the formula is base multiplied by height. They are different becasue of the type of shape on the base.

Explanation:

The formula for any prism would be base x height. Whatever the base might be (a square, rectangle, pentagon etc.).

For example the volume of a rectangular prism:
`A = B * h`
`A = (l*w)*h`
`A = lwh`

A cylinder is the same thing, base times height. But the base is a circle which is `A=pi*r^2`

So:
`A = B * h`
`A = (pi*r^2)*h`
`A = pi*r^2*h`

Hope this helps. :)