Larson Chapter 11

Figures and Solids

Table of Contents

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11.1 Circumference and Arc Length

11.2 Areas of Circles and Sectors

11.3 Areas of Regular Polygons

Ch. 11 Volume + S.A. Formula Sheet (download pdf)

11.5 Explore Solids

11.6 Volume of Prisms and Cylinders

11.7a Volumes of Pyramids and Cones

11.7b Surface Area of Prisms and Cylinders

11.7c Surface Areas of Pyramids and Cones

11.8 Surface Area and Volume of Spheres

11.9 Explore Similar Solids

Click on any underlined text below to open helpful resources

11.1 Circumference and Arc Length

11.1 (1 of 2) Mr. Evans' YouTube video (18 min.)

11.1 (2 of 2) Mr. Evans' YouTube video (1 min.)

Geogebra dynamic illustrators:

You are driving down the highway in your small Ferrari sports car. Alongside of you is a big 18-wheel truck traveling at the same speed. Are those big truck tires spinning faster, slower or the same speed as your small car tires?

11.2 Areas of Circles and Sectors

11.2 Mr. Evans' YouTube video (19 min.)

Radians Explained YouTube video (1 min.)

Geogebra dynamic illustrators:

Khan Academy practice:

Area of a sector

11.3 Areas of Regular Polygons

11.3 (front pg) Mr. Evans' YouTube video (13 min.)

11.3 (back pg, 1 of 2) Mr. Evans' YouTube video (19 min.)

11.3 (back pg, 2 of 2) Mr. Evans' YouTube video (9 min.)

Same concepts presented by a different teacher:

Geogebra dynamic illustrators:

11.3 Practice A on Area of Regular Polygon + partial Key

11.3 Practice B on Area of Regular Polygon + partial Key

Ch. 11 Volume + S.A. Formula Sheet (download pdf)

11.5 Explore Solids

11.5 (1 of 2) Mr. Evans' YouTube video (18 min.)

11.5 (2 of 2) Mr. Evans' YouTube video (4 min.)

Geogebra dynamic illustrators

Khan Academy practices:

11.6 Volume of Prisms and Cylinders

11.6 Mr. Evans' YouTube video (14 min.)

Geogebra dynamic illustrators:

Volume of a Cylinder

Area of the circular Base x height of the cylinder

Triangular Prism

The height of prism vs. height of the triangular Base Changing one side of the Base doesn't change the Volume as long as the height of the Base doesn't change

Square Pyramid

The height of the pyramid vs. the slant height of the pyramid

Cavalieri's Principle

Oblique and right pyramids have the same cross-sectional area as long as the heights of the pyramids are equal Two stacks of equal slabs always have the same volume

Khan Academy practices:

11.7a Volumes of Pyramids and Cones

11.7a (1 of 2) Mr. Evans' YouTube video (19 min.)

11.7a (2 of 2) Mr. Evans' YouTube video (4 min.)

Geogebra dynamic illustrator:

Cone Anatomy

Khan Academy practices:

11.7b Surface Area of Prisms and Cylinders

11.7b (1 of 2) Mr. Evans' YouTube video (18 min.)

11.7b (2 of 2) Mr. Evans' YouTube video (5 min.)

Geogebra dynamic illustrators:

Nets of the Cube

. . . (11 configurations)

. . . (another version)

Khan Academy practices:

11.7c Surface Areas of Pyramids and Cones

11.7c Mr. Evans' YouTube video (11 min.)

Geogebra dynamic illustrators:

Net of a Square Pyramid

Nets of a Triangular Pyramid (Tetrahedron)

Net of a Cone

. . . (another version)

Net of Dodecahedron

. . . (another version) Net of Icosahedron Net of Octahedron and Boat

11.8 Surface Area and Volume of Spheres

11.8 (1 of 2) Mr. Evans' YouTube video (18 min.)

11.8 (2 of 2) Mr. Evans' YouTube video (1 min.)

Geogebra dynamic illustrators:

. . . : compared to volume of a cone . . . : A sphere in a cylinder

Khan Academy practices:

11.9 Explore Similar Solids

11.9 (1 of 2) Mr. Evans' YouTube video (19 min.)

11.9 (2 of 2) Mr. Evans' YouTube video (1 min.)

Geogebra dynamic illustrator:

Volumes and Surface Areas of Similar Cuboids

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