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?

Question: How do we identify solids?

Answer: A solid, which is also known as a 3D object because it has three dimensions: width, depth, and height.
Solids have two properties that make them solids: they have surface area and volume.
Volume is the space inside an object, and surface area is the outer measurement of the object.

Okay, so now let me tell you that there are two different types of solids: Polyhedra and Non-Polyhedra.

The rule for Polyhedra solids is that all the sides must be flat surfaces.
Examples of these types of solids are shown below:

The rule for Non-Polyhedra is the opposite, if one or more of the sides is curved then it is a non-polyhedra.
Examples of these types of solids are shown below:

NOW YOU TRY! :D

What type of solid is the shape below?