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 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 542-547
Identify the solid.
1.




2. Count the number of faces, edges, and vertices
   for the figure.
Lesson 10.4, For use with pages 542-547
Identify the solid.
1.

                      ANSWER     triangular prism




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.

Think front and back
                          5 in
Top and bottom
L/R Sides              2 in
                                 9 in
 Find the SA of the rectangular prism
Front: A = b x h
     30 x 12 = 360                  12 ft
Side: A = b x h
     30 x 10 = 300
Top: A = b x h             30 ft

     12 x 10 = 120
360+360+300+                                10 ft
300+120+120= 1560 ft sq.
   Find the SA of this triangular
    prism
Triangle A= b x h ÷ 2
 (5 x 7) ÷ 2= 17.5
Rectangle A = b x h
         15 x 5 = 75
                        5            5
17.5 + 17.5 + 75                         15 ft
                            7
     +75 + 75=         7
260 ft sq.
                            5
Base: A = b x h ÷ 2
       6 ft              15 ft
                                        (9x12) ÷ 2= 54
                                 Bottom: A = b x h
9 ft                                    12 x 6 = 72
                                 Top:       A=bxh
              12 ft
    Find SA
                                        15 x 6 = 90
Think :                          Left back: A = b x h
2 Bases (f/b)
Bottom                                6 x 9 = 54
Slanted Top
                      54 + 54 + 90 + 54 +72 = 324 ft s q.
Left Back
Homework
   Page 546 #6-8, 13.

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Here are the steps to solve the problems:6) Rectangular prism with dimensions 10 ft x 5 ft x 3 ft - Front/Back: A = l x w = 10 x 5 = 50 ft^2 - Left/Right sides: A = l x h = 10 x 3 = 30 ft^2 - Top/Bottom: A = w x h = 5 x 3 = 15 ft^2 - Total SA = 2(Front + Sides + Top) = 2(50 + 2*30 + 15) = 2(50 + 60 + 15) = 2(125) = 250 ft^27) Triangular prism with dimensions shown - Triangle base: A

  • 1.  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 ?
  • 2.  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
  • 3. Lesson 10.4, For use with pages 542-547 Identify the solid. 1. 2. Count the number of faces, edges, and vertices for the figure.
  • 4. Lesson 10.4, For use with pages 542-547 Identify the solid. 1. ANSWER triangular prism 2. Count the number of faces, edges, and vertices for the figure. ANSWER 5; 9; 6
  • 5. Surface Area of Prisms & Cylinders Section 10.4 P. 542
  • 6. 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.
  • 7. If you were to find the surface area of rectangular prism, what measurements would you need to know?
  • 8. You would need the length, width, and the height of the prism. Think front and back 5 in Top and bottom L/R Sides 2 in 9 in
  • 9.  Find the SA of the rectangular prism Front: A = b x h 30 x 12 = 360 12 ft Side: A = b x h 30 x 10 = 300 Top: A = b x h 30 ft 12 x 10 = 120 360+360+300+ 10 ft 300+120+120= 1560 ft sq.
  • 10. Find the SA of this triangular prism Triangle A= b x h ÷ 2 (5 x 7) ÷ 2= 17.5 Rectangle A = b x h 15 x 5 = 75 5 5 17.5 + 17.5 + 75 15 ft 7 +75 + 75= 7 260 ft sq. 5
  • 11. Base: A = b x h ÷ 2 6 ft 15 ft (9x12) ÷ 2= 54 Bottom: A = b x h 9 ft 12 x 6 = 72 Top: A=bxh 12 ft  Find SA 15 x 6 = 90 Think : Left back: A = b x h 2 Bases (f/b) Bottom 6 x 9 = 54 Slanted Top 54 + 54 + 90 + 54 +72 = 324 ft s q. Left Back
  • 12. Homework  Page 546 #6-8, 13.