Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets 1) Find...
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Transcript of Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets 1) Find...
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
1) Find the area of a circle with a diameter of 10ft. Leave your answer in terms of π. [A= πr2]
3) How many faces are on a cube? What shape are the faces?
2) Round to the nearest whole number.75
Do Now
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Rectangular Prism
Net- a 2-dimensional pattern that forms a solid when it is folded.
height
length
width
Surface Area- the sum of the areas of its faces
Net of a Rectangular Prism
width
lengthheight
Area of the orange face: ______________________
Area of the green face: ______________________
Area of the blue face: ______________________
width x length
length x height
2 ( )
width x height
2 ( )
2 ( )
Surface Area of a Rectangular Prism-
2wl+ 2lh +2wh
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
5 in.
3 in.
4 in.height
length
width
Surface Area of a Rectangular Prism-
2wl+ 2lh +2wh
Find the surface area of the rectangular prism.
2(4)(5) +2(5)(3) +2(4)(3)40 + 30 + 24
94 in2
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Find the surface area of the rectangular prism.
13 ft.
4 ft.
6 ft.
h
l w
Surface Area of a Rectangular Prism-
2wl+ 2lh +2wh2(6)(13)+2(13)(4) +2(6)(4)
156 + 104 + 48308ft2
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Find the surface area of the rectangular prism.
20 cm.
7 cm.
6 cm.h
l
w
12 yd.
30 yd.
9 yd.h
l
w
15 ft.
2ft.2 ft.h
l w
2(6)(20) +2(20)(7) +2(6)(7)
240 + 280 + 84
601 cm2
2wl
+ 2lh + 2wh=
2(2)(15) +2(15)(2) +2(2)(2)
60 + 60 + 8
128 ft2
2wl
+ 2lh + 2wh=
2(9)(12)+2(12)(30)+2(9)(30)
216 + 720 + 540
1,476cm2
2wl
+ 2lh + 2wh=
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Rashid needs to buy some wood to build a box. He must calculate the surface area of the box to determine how much wood to buy. A diagram of the box is shown below. (2006)
3 ft.
2ft.3ft.
How much wood does Rashid need to buy to build the box?
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
What is the best estimation, in square centimeters, for the surface area of the rectangular prism shown below? (2008)
1.9 cm1.9 cm
5.4 cm
A) 14B) 20C) 32D) 48
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Surface area of a Right Triangular Prism= wh + lw + lp + ls
Right Triangular Prism
5cm
4cm
7cm
3cm
= 3(2)
2cm
+7(3)+7(4)+7(5)= 6 + 21+ 28+ 35= 90cm2
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Surface area of a Right Triangular Prism= wh + lw + lp + ls
Right Triangular Prism
8ft
6ft
10ft
4ft
= 4(3)
3ft
+10(4)+10(6)+10(8)
= 12 + 40 + 60 + 80= 192 ft2
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Practice- Find the surface are of each right triangular prism.
4yd
4yd
yd
4yd
5yd6mm
8mm
9mm
5 mm
7mm
1. 2.
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Find the surface area of each 3-dimensional object.
1.
4mm.
2mm.
3mm.
Rectangular Prism
h
lw
12cm
8cm
10cm
15cm
5cm
2.
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Cylinder Net of a Cylinder
Surface Area of a Cylinder
Area = πr2
C = 2πr
height
2πr
height
Area = πr2
Area = πr2
+ Area of the rectangle
2πrπr2
Area = πr2
=2
+ hArea of 2 circles
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Practice- Find the surface area of the cylinder. Round your answer to the nearest tenth.
7 in
3 in1) h+2πr2 2πrSA =
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Practice- Find the surface area of the cylinder. Round your answer to the nearest tenth.
11 ft
5 ft2) 3)
9 mm
14 mm
h+2πr2 2πrSA =
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
4) Chris must paint the cylindrical tank shown below. (2007)
r = 2ft
h = 5 ft
A) What is the surface area of the entire tank to the nearest square foot?
B) One can of paint will cover 25 square feet. How many cans of paint must Chris purchase to paint the entire surface area of the tank?
h+2πr2 2πrSA =
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
5) Joel draws a picture of his cylinder shown below. (2006)
15 cm
7 cm
Calculate the volume of Joel's cylinder. Round your answer to the nearest tenth.
h+2πr2 2πrSA =
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Practice - Find the surface area of each 3-dimensional object.
3.
4cm.
2 cm.5cm.
Rectangular Prism
6ft
2 ft1.
Cylinder
7cm
7cm
8cm
15cm
3cm
2.
Triangular Prism
Aim: How do we find the surface area of prisms and cylinders?
7G4 , 7M11, 7A6 3d Nets
Practice - Find the surface area of each 3-dimensional object.
6.
5cm.8 cm.
11cm.Rectangular
Prism
5ft
4 ft4.
Cylinder
9cm
3cm
2cm
1cm
6cm
5.
Triangular Cylinder