Prisms, pyramids, cones, and cylinders all have different, yet similar formulas when it comes to finding the volume and surface area of them. Lets take a look at them.
Cylinders:
SA= 2(pi * radius squared*) + 2* pi*radius* height
V= pi*radius squared* height
Cones:
SA= Lateral area plus the area of the base....L+B.
V= 1/3* pi* radius squared* height
These formulas for volume are similar because they are both being multiplied by radius squared and the height. The difference in them is that the volume of a cone has to be divided by 3.
Prisms:
SA= Two times the area of the base plus the base's perimeter times the height...2b+bh.
V= The area of the base times the height
Pyramids:
SA= L+B....Lateral area plus the area of the base
V= 1/3 times the base and the height
These formulas are again similar in volume, in that the both multiply the base by the height. The difference in these is that the pyramid divides the base and height by 3.
Have a GREAT day!
