10.4 surface area of prisms & cylinders 1
TRANSCRIPT
In 1861 the Union’s population was 23,000,000 people and the Confederacy’s was 9,000,000.
In the U.S. Civil War, the cost to the Union was about $3.2 billion, and the cost to the Confederacy was about $2 billion How much money did the Union spend for each
person in the Union? How much money did the Confederacy spend for
each person in the Confederacy ?
In 1861 the Union’s population was 23,000,000 people and the Confederacy’s was 9,000,000.
In the U.S. Civil War, the cost to the Union was about $3.2 billion, and the cost to the Confederacy was about $2 billion How much money did the Union spend for each
person in the Union? $139.13
How much money did the Confederacy spend for each person in the Confederacy ? $222.22
Lesson 10.4, For use with pages 542-547Identify the solid.
1.
2. Count the number of faces, edges, and vertices for the figure.
Lesson 10.4, For use with pages 542-547Identify the solid.
ANSWER triangular prism
1.
2. Count the number of faces, edges, and vertices for the figure.
ANSWER 5; 9; 6
Surface Area of Prisms & Cylinders
Section 10.4
P. 542
Vocabulary Surface Area: (SA) of a polyhedron is the sum of
the areas of all the faces.
Prism: a polyhedron that has two congruent faces that are parallel polygons. Each parallel, congruent face is called a base. Prisms are named for the shape of their bases.
If you were to find the surface area of rectangular prism, what measurements would you need to know?
You would need the length, width, and the height of the prism.
5 in
2 in9 in
Think front and back
Top and bottom
L/R Sides
Find the SA of the rectangular prism
30 ft
12 ft
10 ft
Front: A = b x h
30 x 12 = 360
Side: A = b x h
30 x 10 = 300
Top: A = b x h
12 x 10 = 120
360+360+300+ 300+120+120= 1560 ft sq.
Find the SA of this triangular prism
7
5
5
5 15 ft
Triangle A= b x h ÷ 2
(5 x 7) ÷ 2= 17.5
Rectangle A = b x h
15 x 5 = 75
17.5 + 17.5 + 75 +75 + 75=
260 ft sq.
7
Find SA
Think :
2 Bases (f/b)
Bottom
Slanted Top
Left Back
12 ft
9 ft
6 ft 15 ftBase: A = b x h ÷ 2
(9x12) ÷ 2= 54
Bottom: A = b x h
12 x 6 = 72
Top: A = b x h
15 x 6 = 90
Left back: A = b x h
6 x 9 = 54
54 + 54 + 90 + 54 +72 = 324 ft s q.
Homework
Page 546 #6-8, 13.