Warm Up Find the lateral area and surface area of each figure.
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Warm Up Find the lateral area and surface area of each figure. LA =2 πrh LA =4 π •8 32 π cm 2 SA =LA +2 πr 2 SA =32 π +2( 4 π ) SA =40 π cm 2 SA =2 B + PH SA =2(30 ) +26•4 SA =164 in 2 LA =PH LA =26• 4 LA =104 in 2
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Transcript of Warm Up Find the lateral area and surface area of each figure.
Warm UpFind the lateral area and surface area of each
figure.
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LA=2πrh
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LA=4π • 832π cm2
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SA=LA+2πr2
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SA=32π +2(4π)SA=40π cm2
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SA=2B+PH
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SA=2(30) +26• 4SA=164in2
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LA=PHLA=26• 4LA=104in2
Finding surface area of square pyramids
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S=B+12Pl
B is the area of base P is the perimeter of base l is the slant height
Which part of the formula is the area of the lateral surface?
Find the lateral area of each solid.
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Lateral=12
48( ) 261
= 24 261≈387.7 ft2
3.5 m
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l2 =72 +3.52
l= 61.25P=28
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LA=12Pl
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LA=12• 28• 61.25
LA=14 61.25≈109.57m2
Find the lateral area and surface area
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l=5P=24B=36
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LA=12Pl
LA=1224• 5
LA=60 ft2
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SA=B+ 12Pl
SA=36+60SA=96 ft2
Surface Area of Regular Right Pyramid
• Surface Area = L.A. + Area of basewhere L.A.= lateral area = 1/2 Pl
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Don' !t forget!! Area of any regular polygon=12aP
Finding the Surface Area of a Cone
r
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Lateral Face= πrl
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S=πr2 +πrl
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where r is the radius of the base and l is the slant height
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A=πr2
Find the Lateral Area and Surface Area of the Following:
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SA=2B+Ph
SA=2 12• 30• 40
⎛
⎝ ⎜
⎞
⎠ ⎟+ 30+40+50( )50
SA=1200+6000SA=7200 ft2
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LA=6000 ft2
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SA=2πr2 +2πrhSA=2π52 +2π5• 17SA=50π +170πSA=220π ft2
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LA=170π ft2
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SA=πr2 +πrlSA=π22 +π2 104SA=4π +2π 104 m2
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LA=2π 104 m2
Cool Down
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SA=2πr2 +2rπh500=2π25+10πh500=50π +10πh500−50π =10πh500−50π
10π=h
Cool Down A cylindrical can of beans is
shown to the right.
What is the area of a label that surrounds the can without overlapping? Write your answer in terms of pi.
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Label=13.5π in2
