Geometry 11.2a, Volume of Prisms & Cavalieri’s Principle

An explanation of the volume of prisms as the number of non-overlapping unit cubes of a given size that will exactly fill the interior of a figure. Cavalieri’s Principle says if two 3D figures have the same height and the same cross-sectional area at every level, they have the same volume. We learn how to find the volume of a prism whether it is a right prism or an oblique prism. We find the volume of a right regular pentagonal prism with given base edge and length by finding the apothem and using a tangent ratio to help us find the base area. We find how much an aquarium holds in gallons and the weight of those gallons in pounds.

Geometry 8.2a, Trigonometric Ratios, introducing Sine, Cosine, Tangent

Geometry 10.2c, Area of Regular Polygons with the Apothem

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

FOLLOW ME:
TWITTER https://twitter.com/JoannsSchool
FACEBOOK Message me! https://www.facebook.com/JoAnnsSchool/
MINDS Minds.com/joannsschool

SUPPORT MY WORK:
PATREON https://www.patreon.com/JoannsSchool
PAYPAL https://www.paypal.com/cgi-bin/webscr?cmd=_s-xclick&hosted_button_id=KKAMABTBVDFNY
YOUTUBE https://www.youtube.com/c/joannsschool