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Surface Area of
Pyramids (and Cones)
      Section 10.5
     P. 548 - 552
• In this section, you will practice finding the
  “surface” area of pyramids. These
  pyramids will include both triangular and
  square bases. However, the base will be
  “regular” polygon – so either squares or
  equilateral triangles.

• This is not true of all pyramids, however.
Is the height of a lateral face (any face that is
NOT the base)
GUIDED PRACTICE        for Example 1

  Find the surface area. Round to the nearest tenth.

 1.




            Area of the B = 8 x 8 = 64 ft2
            Area of one lateral side is (8 x 12) / 2 = 48
                 4 Triangles x 48 = 192
            Add 192 + 64 = 256 ft 2 is the surface area
Area of the B = 6 x 6 = 36
Area of one lateral side triangle = (6x11) /2 = 33
     33 x 4 = 132
Add 132 + 36 = 168 cm2 for the surface area
GUIDED PRACTICE    for Example 1




 Area of the base + Area of the three lateral
 sides
 B = 62.4
 One lateral Triangle (12 x 10) /2 = 60
      60 x 3 = 180 (for the 3 Tri. Sides)
 SA = 180 + 62.4 = 242.4 in2
Area of B is given = 84.9
One lateral Triangle – (14 x 16) / 2 = 112
     Time 3 (for the three triangle) 3 x 112 = 336
Add 336 + 84.9 = 420.9 yd2 for the surface area
Look at the sphere formula for surface area
 S = 4πr2
You will NOT need to memorize this, but
you should be able to substitute in the
values correctly and solve the problem.

                     diameter= 9.4
                     S = 4πr2
                     S = 4 x 3.14 x 4.72
                     S = 277.5 in2
• Assignment: P 550 #2-4, 17-19
• Show all your steps
  – Draw the nets only if you want to
• Remember – this is still area and labels
  will be square units.

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10.5 sa of pyramids 1

  • 1. Surface Area of Pyramids (and Cones) Section 10.5 P. 548 - 552
  • 2. • In this section, you will practice finding the “surface” area of pyramids. These pyramids will include both triangular and square bases. However, the base will be “regular” polygon – so either squares or equilateral triangles. • This is not true of all pyramids, however.
  • 3. Is the height of a lateral face (any face that is NOT the base)
  • 4. GUIDED PRACTICE for Example 1 Find the surface area. Round to the nearest tenth. 1. Area of the B = 8 x 8 = 64 ft2 Area of one lateral side is (8 x 12) / 2 = 48 4 Triangles x 48 = 192 Add 192 + 64 = 256 ft 2 is the surface area
  • 5. Area of the B = 6 x 6 = 36 Area of one lateral side triangle = (6x11) /2 = 33 33 x 4 = 132 Add 132 + 36 = 168 cm2 for the surface area
  • 6. GUIDED PRACTICE for Example 1 Area of the base + Area of the three lateral sides B = 62.4 One lateral Triangle (12 x 10) /2 = 60 60 x 3 = 180 (for the 3 Tri. Sides) SA = 180 + 62.4 = 242.4 in2
  • 7. Area of B is given = 84.9 One lateral Triangle – (14 x 16) / 2 = 112 Time 3 (for the three triangle) 3 x 112 = 336 Add 336 + 84.9 = 420.9 yd2 for the surface area
  • 8. Look at the sphere formula for surface area S = 4πr2 You will NOT need to memorize this, but you should be able to substitute in the values correctly and solve the problem. diameter= 9.4 S = 4πr2 S = 4 x 3.14 x 4.72 S = 277.5 in2
  • 9.
  • 10. • Assignment: P 550 #2-4, 17-19 • Show all your steps – Draw the nets only if you want to • Remember – this is still area and labels will be square units.