2015 10.1 cross sections.notebook

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May 06, 2015

Mar 30­9:58 PM

Unit 10. 1 3D figures and Surface AreaI can ...Identify and draw…• nets of 3D figures• cross sections• And find the surface area of prisms and pyramids

Apr 23­12:16 PM

Warm Up: Name as many 3D shapes as possible. 

Mar 30­9:58 PM

NET• 2D pattern that folds to form a solid.• http://illuminations.nctm.org/Activity.aspx?

id=3521

Mar 30­9:58 PM

Solid of revolution

• 3D figure created when rotating a 2D figure about a line• Example 1. What 3D figure is created when this triangle is rotated

360 degrees?

Mar 30­9:58 PM

More examples

• Example 2. • Describe the 3D shape created

• Example 3.• Draw the 2D figure that created the 3D

figure

Mar 30­9:58 PM

CROSS SECTION

• the intersection of a solid and a plane• Shape depends on the angle/cut of the plane

• http://www.learner.org/courses/learningmath/geometry/session9/part_c/index.html • Make a prediction, which of the following shapes can be made from the cross

section of a cube?

2015 10.1 cross sections.notebook

2

May 06, 2015

Mar 30­9:58 PM

Horizontal and Vertical cuts

• Examples: Given the following, describe the figure created if you made a horizontal and vertical cut.

• 1. 2. 3.

May 5­8:36 PM

Surface Area of Prisms and PyramidsSurface area is the area of all of the faces of a 3D object.

This is a face

How many faces are in this rectangular prism?

May 5­8:41 PM

Find the surface area of the following 3D figure

May 5­8:41 PM

Find the surface area of the following 3D figure