10-6 SA Cone Sphere Pyramid
April 13, 2011
Surface Area: Part II
Plan for the day
1. Warm Up
2. Save HW for when Mr. A gets back.
3. Read over these notes.
Look over the book for further details. p 558
4. Practice worksheet 10-6
5. Work on HW
6. Work on projects if time.
Pyramids
New measurement
slant height ( )
And above all else... Behave for Mr. Bond.
Surface Area: Part II
Surface Area: Part II
Pyramids
Lateral area (4 triangular faces) - one
half the product of the perimeter of the
base and and the slant height.
Pyramids
Lateral area (4 triangular faces) - one
half the product of the perimeter of the
base and and the slant height.
This should make sense...
This should make sense...
1/2b1h + 1/2b2h + 1/2b3h +1/2b4h
1/2b1h + 1/2b2h + 1/2b3h +1/2b4h
b2
b3
b1 + b2 + b3 + b4 = total perimeter
b1
Lateral area (4 triangular faces) - one
half the product of the perimeter of the
base and and the slant height.
This should make sense...
1/2b1h + 1/2b2h + 1/2b3h +1/2b4h
b2
b1
b3
b1 + b2 + b3 + b4 = total perimeter
b4
Surface area = lateral area + area of base
SA = 1/2 pl + B
(B = Area of Base)
b4
Surface Area: Part II
Surface Area: Part II
Pyramids
b +b +b +b
1
2
3
4 = total perimeter
Cones
Lateral area - the curved surface of the
side of the cone.
10-6 SA Cone Sphere Pyramid
April 13, 2011
Surface Area: Part II
Surface Area: Part II
Lateral area - the curved
surface of the side of the
cone.
Cones
Spheres
These don't have faces, sides, or
vertices, so the formula is a little
more complicated.
LA = ∏rl
SA = LA + B
SA = ∏rl + ∏r2
Surface Area: Part II
Spheres
These don't have faces, sides, or
vertices, so the formula is a little
more complicated.
SA = 4∏r
2
In order to understand this formula,
you need some calculus classes...
Try again in a few years!
Amazing math fact!
ABP opportunity - find out what
famous mathematician had a carving
of a sphere and a cylinder on his
tombstone. First 3 people to email
Mr. Aigner the correct answer get the
prize!
The surface area
of a sphere is
the same as the
lateral surface
area of the
cylinder into
which the sphere
fits.
Amazing!
... to Mr. A
anyway.