pyramids April 20, 2015 Unit 8 NOTESgcmath.weebly.com/uploads/2/1/1/5/21159736/pyramids.pdf ·...
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pyramids April 20, 2015 Unit 8 NOTES Polygons Quadrilaterals Coordinate Geometry With Quadrilaterals 36 37 Unit 8: Polygons, Area, Surface Area & Volume 38 39 40 Polyhedrons Prisms 41 42 Pyramids Cylinders
Transcript of pyramids April 20, 2015 Unit 8 NOTESgcmath.weebly.com/uploads/2/1/1/5/21159736/pyramids.pdf ·...
pyramids April 20, 2015
Unit 8 NOTES
Polygons
Quadrilaterals
Coordinate GeometryWith Quadrilaterals
36
37
Unit 8: Polygons, Area, Surface Area & Volume
38
39
40
Polyhedrons
Prisms
41
42
Pyramids
Cylinders
pyramids April 20, 2015
Quiz 8.3 Tomorrow!Prisms, Pyramids, Cylinders
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Lesson 41: Pyramids
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PYRAMIDS-> *one base*the lateral faces are tr iangles
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BASE
APEX
LATERALFACES
SLANT LENGTHl
used for finding
SURFACE AREA
used for finding VOLUME
HEIGHT h
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Pyramids are named by the shape of their bases
Rectangular Pyramid Triangular Pyramid
Pentagonal Pyramid Hexagonal Pyramid
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Height directly above the centroid
of the base
Right vs. Oblique
Height NOT directly above the centroid
of the base
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UNITS
Area is measuredin squares
Area is measuredin cubes
ft2 in2 cm2 ft3 in3 cm3
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6 in
5 in
8 in
5 in
8 in
6 in
How much larger is the prism?What do you think?
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Pyramids with the same base and height
as a prism will hold 1/3 of the volume
Prisms hold three times as much as pyramids
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8 in
6 in
5 in
6 in
5 in
8 in
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pyramids April 20, 2015
PyramidsSurface area: Find the area of each face and add them up
Volume: Area of base × Height 3
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Example:Find the SURFACE AREA of the square pyramid.
Area of base:A = (32)(32) = 1024in2
To find Slant Height:x = 32/2 = 16in.
302 + 162 = l2 (Pythag. Thm.)
900 + 256 = l2 34 = l
x
l
Area of one triangle face:A = 1/2(32)(34) = 544in2
Surface Area:SA = 1024 + 4(544) = 2176in2
32
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Example:Find the VOLUME of the square pyramid.
