12.1 Prisms

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12.1 Prisms
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Prisms are specific kinds of _____________The
word polyhedra is the plural form of polyhedron.
3
A polygon is a 2-dimensional shape.
4
______________________
5
Lets talk about specifics of a Prism. Prism
____________________________________ _____________
_____________________________ Altitude
__________________________________ _______________
___________________________ Lateral Faces
_____________________________ Lateral Edges
_____________________________ ____________________
______________________
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Presto! A triangular prism!
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Presto! A Rectangular Prism!
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So what did we learn about Naming? ______________
_________________
______________
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Formulas
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The only unique name that you have to remember is
the cube.
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A rectangular ______________ _____________________
___
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A cube has a volume of 8cm cubed. Find the
length of each edge and the TA.
s
s
s
s
s
s
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Find TA and Volume
w6
l5
H12
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Find TA and Volume
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Find the volume of a rectangular solid with
length of 10, width 3 and height of 12.
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Find the TA and Volume of a cube with an edge of
5a.
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Class work

1. A right triangular prism has base edges of
   5,12,13 and Volume of 450. Find the height of
   the prism.
2. The base of a Triangular prism is an isosceles
   triangle with legs of 3 cm. The height of the
   prism is 10 cm. Find the LA, TA and V.

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12.2 Pyramids
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Pyramid ________________________________ Altitu
de _________________________________ ____________
____________________________ Lateral Faces
___________________________ Bases
__________________________________ Slant Height
_____________________________ ____________________
____________________
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Presto! A triangular pyramid!
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Presto! A square pyramid!
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Formulas
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A regular triangular Pyramid has slant height of
9, and base perimeter of 12. Find LA, B, TA.
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A square pyramid has a base edge of 6 and a
lateral edge of 5. Fill in missing values.
base
l
h
r
a
½ s
LE
a
3
LE
h
LE
l
r
½ s
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Find LA, BA, TA, and V of the last Problem
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Solve both Problems
a h BE LE LA TA V
3 4
5 13
Regular Triangular Pyramid
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12.3 Cylinders and Cones
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Cylinders
Cylinder ______________________________ height
/ altitude ___________________ Radius
___________
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Lateral Area ___________________ _______________
________________ Total Area ___________________
_ _______________________________ Volume
_______________________ __________________________
_____
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Cones
Cone ________________________________ height /
altitude ___________________ Slant height
_________ Radius ______________
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Lateral Area __________________ ________________
______________ Total Area ___________________ _
_____________________________ Volume
_____________________
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Find B LA TA V
7
r 5
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Find B LA TA V
5
r 12
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A cone with a radius of 6 and height of 12 cm is
filled to capacity with Cherry Coke. Find the
minimum height of a cylinder with a radius of 4
cm that will hold the same amount of liquid.
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Class work
r h LA TA V
5 10
3
12
r h l LA TA V
5 12
8 15

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12.4 Spheres
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Sphere ________________________ ________________
________________ ________________________________
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Complete the Chart
d r A V
12
7



39
If the surface area of a sphere is 16 pie find
the diameter and the volume.
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Find the area of the circle formed when a plane
passes 9 cm from the center of a sphere with a
radius of 15.
15
41
Mr. Trem made 2 wax candles, one in the shape of
a sphere with radius of 5 and one in the shape of
a cylinder with a radius 5 and height of 6.
Which candle required more wax?