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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.

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Presentation on theme: "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."— Presentation transcript:

1 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 answer in terms of π. [A= πr 2 ] 3) How many faces are on a cube? What shape are the faces? 2) Round to the nearest whole number. Do Now

2 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d 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 length height 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 ( ) Surface Area of a Rectangular Prism- 2wl + 2lh +2wh

3 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d 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) in 2

4 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets Find the surface area of the rectangular prism. 13 ft. 4 ft. 6 ft. h lw Surface Area of a Rectangular Prism- 2wl + 2lh +2wh 2(6)(13) +2(13)(4) +2(6)(4) ft 2

5 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d 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. h l w 2(6)(20) +2(20)(7) +2(6)(7) cm 2 2wl+ 2lh + 2wh = 2(2)(15) +2(15)(2) +2(2)(2) ft 2 2wl+ 2lh + 2wh = 2(9)(12) +2(12)(30) +2(9)(30) ,476 cm 2 2wl+ 2lh + 2wh =

6 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d 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?

7 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets What is the best estimation, in square centimeters, for the surface area of the rectangular prism shown below? (2008) 1.9 cm 5.4 cm A) 14 B) 20 C) 32 D) 48

8 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d 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) = = 90cm 2

9 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d 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) = = 192ft 2

10 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets Practice- Find the surface are of each right triangular prism. 4yd yd 4yd 5yd 6mm 8mm 9mm 5 mm 7mm 1.2.

11 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets Find the surface area of each 3-dimensional object. 1. 4mm. 2mm. 3mm. Rectangular Prism h l w 12cm 8cm 10cm 15cm 5cm 2.

12 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets Cylinder Net of a Cylinder Surface Area of a Cylinder Area = πr 2 C = 2πr height 2πr height Area = πr 2 + Area of the rectangle 2πr πr2πr2 Area = πr 2 =2 + h Area of 2 circles

13 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets Practice- Find the surface area of the cylinder. Round your answer to the nearest tenth. 7 in 3 in 1) h + 2 πr2πr2 2πr SA =

14 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets Practice- Find the surface area of the cylinder. Round your answer to the nearest tenth. 11 ft 5 ft 2) 3) 9 mm 14 mm h + 2 πr2πr2 2πr SA =

15 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d 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 + 2 πr2πr2 2πr SA =

16 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d 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 + 2 πr2πr2 2πr SA =

17 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets Practice - Find the surface area of each 3-dimensional object. 3. 4cm. 2 cm. 5cm. Rectangular Prism 6ft 2 ft 1. Cylinder 7cm 8cm 15cm 3cm 2. Triangular Prism

18 Aim: How do we find the surface area of prisms and cylinders? 7G47G4, 7M11, 7A67A63d Nets Practice - Find the surface area of each 3-dimensional object. 6. 5cm. 8 cm. 11cm. Rectangular Prism 5ft 4 ft 4. Cylinder 9cm 3cm 2cm 1cm 6cm 5. Triangular Cylinder


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