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Take out HW from last night.Take out HW from last night. Text p. 379, #1-6Text p. 379, #1-6
Copy HW in your planner.Copy HW in your planner. Text p. 390, #1-10 allText p. 390, #1-10 all
Complete the “Hands-On Lab Use Nets to Build Prisms and Cylinders” activity on page 386 in your textbook.
Do Now 5/9/13
“Net Activity” Complete the “Hands-On Lab Use Nets to
Build Prisms and Cylinders” activity on page 386 in your textbook.
Be sure to follow the directions exactly or your nets will not fit on the graph paper.
Graph paper, tape, and scissors are on the shelf. Be sure to be neat and clean up all of your scraps when you have finished.
A A NETNET is a pattern that can be folded to is a pattern that can be folded to form a solid object like a prism or a pyramid.form a solid object like a prism or a pyramid.
4 in.4 in.
2 in.2 in.
10 in.10 in.
10 in.10 in.
2 in.2 in.
2 in.2 in.
4 in.4 in.
4 in.4 in.
Section 9.6 “Surface Area of Prisms and Cylinders”
Surface Area-Surface Area- the sum of the areas of all the the sum of the areas of all the faces of a polyhedron or solid faces of a polyhedron or solid figure.figure.
**HINT****HINT**To calculate surface area of a figure, To calculate surface area of a figure,
think of the net of the figure and think of the net of the figure and how many faces make up the figure. how many faces make up the figure.
Find the area of each face,Find the area of each face, and then add them all up!and then add them all up!
10 cm
5 cm5 cm
Find the surface area of Find the surface area of the rectangular prism.the rectangular prism.
Find the area of each face,Find the area of each face, and then add them all up!and then add them all up!
5 cm5 cm
10 cm10 cmSurface Area-Surface Area-the sum of the areas of all the the sum of the areas of all the faces of a faces of a polyhedron or solid figure.polyhedron or solid figure.
2 x (5)(5)2 x (5)(5)+ 4 x (5)(10)+ 4 x (5)(10)
Surface Area =Surface Area = 50 + 200 = 250cm50 + 200 = 250cm²²
25
25
50 50 50 50
10 cm
8 cm
15 cm
Find the surface area of Find the surface area of this triangular prism.this triangular prism.
3 cm
10cm10cm8cm8cm
15cm15cm
Surface Area = Surface Area = Triangle base = 12Triangle base = 12 Triangle base = 12Triangle base = 12 Left faceLeft face = 150= 150 Right faceRight face = 150= 150 BottomBottom = 120= 120
Surface Area = Surface Area =
444cm444cm²²
Surface Area-Surface Area-the sum of the areas of all the the sum of the areas of all the faces of a faces of a polyhedron or solid figure.polyhedron or solid figure.
12
12
150 120 150
10cm10cm
15cm15cm 15cm15cm
3cm3cm
Find the surface area of the prisms.
= 126
The surface area of the prism is 606 in2.
The surface area of the prism is 150 in2.
Front & back = 2 (9 x 7)
Top & bottom = 2 (7 x 15)
Left & right = 2 (9 x 15)
= 210
= 270
= 56Front = (8 x 7)
Top & bottom = 2(½ x 8 x 3)
Left & right = 2 (5 x 7)
= 24
= 70
Surface Area-Surface Area- the sum of the areas of the circular bases and the the sum of the areas of the circular bases and the lateral surface.lateral surface.
222 rrhSA Circular basesLateral surface
A A NETNET is a pattern that can be is a pattern that can be folded to form a solid object like a prism folded to form a solid object like a prism or a pyramid.or a pyramid.
222 rrhSA
Circular base
Lateral surface
Circular base
2 in2 in
4 in4 in
Find the surface area of a cylinder.
Surface Area = Surface Area =
Area of rectangle + 2 x Area of Area of rectangle + 2 x Area of circlecircle
222 rrhSA 2)2)(14.3(2)4)(2)(14.3(2 SA
12.2524.50 SA236.75 inSA
16 in16 in
22 in22 in
Find the surface area of a cylinder.
Surface Area = Surface Area =
Area of rectangle + 2 x Area of Area of rectangle + 2 x Area of circlecircle
222 rrhSA 2)8)(14.3(2)22)(8)(14.3(2 SA
92.40128.1105 SA220.1507 inSA