Is there an easy way to find volume and surface area of all prisms, pyramids, cones, cylinders, and spheres?

Expert Answers
justaguide eNotes educator| Certified Educator

The surface area and volume of solids like prisms, pyramids, cones, cylinders, and spheres can be determined by using the following formulae. Only the required values for the variables in the formulae need to substituted with the values available.

Prism:

Volume = Area of the base * height = length* width* height

Surface area = 2*( length* width + length* height + width* height)

Pyramid:

Volume = (1/3)*Surface area of base * height

Surface area = (1/2)*perimeter of base * slant height

Cone:

Volume = (1/3)*pi*r^2*h

Surface area = pi*r*l + pi*r^2  , here l is the slant height

Cylinder:

Volume = area of base * height = pi*r^2*h

Surface Area = 2*pi*r^2 + 2*pi*r*h

Sphere:

Volume =( 4/3)* pi*r^3

Surface Area = 4*pi*r^2