Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets 1) Find the area of a circle with a diameter of 10ft. Leave your.

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