# Volume: Cones and Prisms

by
**CarolinaLara**

Last updated 6 years ago

** Discipline: **

Math ** Subject: **

Geometry
** Grade:**

9

The volume of a 3-D figure is the number of nonoverlapping unit cubes of a given size that will exactly fill the exterior.

By: Carolina LaraGeometry 2Band 2

Volume: Cones and Prisms

Prism-a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.Cone-a solid or hollow object that tapers from a circular or roughly circular base to a point.

PrismsTo find the volume of a prism use the formulas: V=cross section x lengthORV=length x width x heightExample:Find the volume of the figure provided below.Answer: V= l x w x hV= 6 x 3 x 4V= 72

ConesTo find the volume of a cone use the following formula:V=1/3 x pi x radius^2 x hExample: Find the volume of the figure below. Leave in terms of pi.Answer:V= 1/3 x pi x 5^2 x 9V= 1/3 x pi x 25 x 9V= 1/3 x pi x 225V= 75pi

For Further InfoYou can find formulas here:http://www.math.com/tables/geometry/volumes.htmHelp and explanations can be found here:http://secure.brainpop.com/math/geometryandmeasurement/volumeofprisms/preview.wemlhttp://www.aaamath.com/exp79_x3.htm

Need to work on some problems? Here are a few great review problems just scroll for answers:http://www.myteacherpages.com/webpages/lamenta/files/practice_c71.pdffile:///C:/Users/Owner/Desktop/Geo%20Collateral/WorksheetWorks_Calculating_Volume_1.pdf

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