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Chapter 10 day 1 s.a. of prisms
1. Drill GT Geom 5/7/14
Find the unknown lengths.
1. the diagonal of a square with side length
5 cm
2. the base of a rectangle with diagonal
15 m and height 13 m
3. the height of a trapezoid with area 18 ft2
and bases 3 ft and 9 ft
6. Three-dimensional figures, or solids, can be made
up of flat or curved surfaces. Each flat surface is
called a face. An edge is the segment that is the
intersection of two faces. A vertex is the point that is
the intersection of three or more faces.
7.
8. A cube is a prism with six square faces. Other prisms
and pyramids are named for the shape of their bases.
9. Postulate
Write the formula for the
volume of a right
rectangular prism.
V = lwh
We will assume prisms
are RIGHT from now on
18. Example 2A: Identifying a Three-
Dimensional Figure From a Net
Describe the three-dimensional figure that can be
made from the given net.
The net has six
congruent square
faces. So the net
forms a cube.
19. Example 2B: Identifying a Three-
Dimensional Figure From a Net
Describe the three-dimensional figure that can be
made from the given net.
The net has one circular
face and one
semicircular face. These
are the base and sloping
face of a cone. So the net
forms a cone.
20. Check It Out! Example 2a
Describe the three-dimensional figure that can be
made from the given net.
The net has four
congruent triangular
faces. So the net
forms a triangular
pyramid.
21. Check It Out! Example 2b
Describe the three-dimensional figure that can be
made from the given net.
The net has two circular
faces and one
rectangular face. These
are the bases and curved
surface of a cylinder. So
the net forms a cylinder.
22. Lateral Area of a Prism -
sum of the areas of the
lateral faces.
Surface Area of a Prism -
sum of the lateral area
and the areas of the two
bases
26. Prisms and cylinders have 2 congruent parallel
bases.
A lateral face is not a base. The edges of the base are
called base edges. A lateral edge is not an edge of a
base. The lateral faces of a right prism are all
rectangles. An oblique prism has at least one
nonrectangular lateral face.
27. Lateral Area of a Right Prism
Is their a short cut for
finding the lateral
area ?
28. Lateral Area of a Right Prism
The lateral area LA of a
right prism with height
h and perimeter of
base p is:
LA = Hp or L = Hp
29. Surface Area of a Right Prism
The surface area SA of a
right prism with lateral LA
and the area of a base B
is:
SA = LA + 2B
or S =L + 2B
30. Volume
Volume equals Area of the
Base times the Height of the
object.
V = BH
Area of the Base x Height of the object
42. Three-dimensional figures, or solids, can be made
up of flat or curved surfaces. Each flat surface is
called a face. An edge is the segment that is the
intersection of two faces. A vertex is the point that is
the intersection of three or more faces.
43.
44. A cube is a prism with six square faces. Other prisms
and pyramids are named for the shape of their bases.
45. Prisms and cylinders have 2 congruent parallel
bases.
A lateral face is not a base. The edges of the base are
called base edges. A lateral edge is not an edge of a
base. The lateral faces of a right prism are all
rectangles. An oblique prism has at least one
nonrectangular lateral face.
