Learn to calculate volumes of prisms and cylinders in this comprehensive mathematics lecture and problem-solving session. Begin with an introduction to solids classification, distinguishing between polyhedrons, prisms, and pyramids. Master the fundamental volume formula V = Bh, where B represents the base area and h denotes height, with special attention to cylindrical volumes using πr²h. Practice calculating volumes for various prism types with different polygonal bases including triangles, rectangles, trapezoids, and hexagons. Explore composite solids through addition and subtraction of volumes, and discover Cavalieri's principle for understanding oblique prisms and cylinders. Study the relationship between similar solids, understanding how volume ratios correspond to cubed similarity ratios. Work through 44 detailed practice problems with step-by-step solutions, preparing for future lessons on volumes of pyramids, cones, and spheres, as well as surface area calculations of various solids.
Overview
Syllabus
Introduction
Lecture overview
Problem #1-2
Problem #3-6
Problem #7-10
Problem #11-14
Problem #15-18
Problem #19-20
Problem #21-22
Problem #23-28
Problem #29-30
Problem #31-34
Problem #35
Problem #36
Problem #37
Problem #38
Problem #39
Problem #40-41
Problem #42
Problem #43
Problem #44
Taught by
Mr. Robinson's Virtual Math Classroom
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