Name: _ Date: _ Period: _
12.6 & 13.2 Surface Areas and Volumes of Cones
Lateral Area: L = rl
Surface Area: T = rl + r 2
Examples:
1. Diego has a conical lamp shade with an altitude of 6 inches and a diameter of
12 inches. Find the lateral area of the lam
Name: _ Date: _ Period: _
12.7 & 13.3 Surface Areas and Volumes of Spheres
Great Circle: _
Hemisphere: _
Examples: In the figure, A is the center of the sphere, and plane M intersects the sphere in circle C.
1. If AC = 9 and BC = 12 , find AB.
2. If the r
Name: _ Date: _ Period: _
12.2 Nets and Surface Area
Isometric dot paper can be used to draw two-dimensional models of three-dimensional geometric solids.
- Start by drawing a corner view of the solid.
- Then draw a polygon for the top of the solid.
- Con
Name: _ Date: _ Period: _
12.3 & 13.1 Surface Areas and Volumes of Prisms
Lateral Faces: _
_
Lateral Edges: _
_
Right Prism: _
Oblique Prism: _
_
Lateral Area (L): _
L = Ph , where P is the perimeter of one base and h is the height
Surface Area (T): _
T =
Name: _ Date: _ Period: _
12.4 & 13.1 Surface Areas and Volumes of Cylinders
Axis: _
_
Right Cylinder: _
Oblique Cylinder: _
Lateral Area: L = 2 rh
Surface Area: T = 2 rh + 2 r 2
Examples:
1. An office has recycling barrels for cans and paper. The barrels
Name: _ Date: _ Period: _
12.5 & 13.2 Surface Areas and Volumes of Pyramids
Regular Pyramid: _
_
Slant Height (l): _
Lateral Area: L =
1
Pl , where P is the perimeter of the base and l is the slant height
2
Surface Area: T =
1
Pl + B , where B is the area
Name: _ Date: _ Period: _
Geometry: Chapter 11 Review
Formulas to Memorize
Area of a Parallelogram:
Area of a Triangle:
Area of a Trapezoid:
Area of a Rhombus:
Area of a Circle:
Area of a Regular Polygon: A =
1
Pa
2
Circumference of a Circle: C = 2 r = d
Name: _ Date: _ Period: _
12.1 Three-Dimensional Analysis
Orthogonal Drawing: _
_
Corner (Perspective) View: _
_
Example: Draw the corner view of the figure given its orthogonal drawings.
- Dark segments indicate breaks in the surface.
- The top view show