Question: How do we find the surface area and lateral area of prisms and cylinders?

Answer: So first of all what are prisms and cylinders?
Well prisms are solids with bases that are two congruent polygons. And a cylinder is a solid with two congruent circular bases connected by a tube.

So how do you find the lateral area?
To find the lateral area of a prism you multiply the perimeter by the height. Formula--> L.A.=Ph
This formula represents P as the perimeter of one of the bases and h as the height.

To find the lateral area of a prism you multiply the radius of one of the bases times two then multiply it by the height and finally multiply it by π. Formula--> L.A.=2πrh 


And how do you find the volume?
To find the volume of a prism you multiply the base times the height. Formula--> V=Bh
This formula represents B as the base area and h as the height.

To find the volume of  a cylinder you multiply the radius by itself  and then times it by the height and finally multiply it by π.




NOW YOU TRY! :D
What is the area of the following prism?