Aim How do we find the surface area

Aim: How do we find the surface area of prisms and cylinders? Do Now 1) Find the area of a circle with a diameter of 10 ft. Leave your answer in terms of π. [A= πr 2] 2) Round to the nearest whole number. 3) How many faces are on a cube? What shape are the faces? 7 G 4 , 7 M 11, 7 A 6 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Net- a 2 -dimensional pattern that forms a solid when it is folded. width length height Rectangular Prism Net of a Rectangular Prism 2 ( width x length ) Area of the orange face: ___________ Area of the blue face: 2 ( length x height ) ___________ Area of the green face: ___________ 2 ( width x height ) Surface Area- the sum of the areas of its faces Surface Area of a Rectangular Prism- 2 wl + 2 lh +2 wh 7 G 4 , 7 M 11, 7 A 6 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Find the surface area of the rectangular prism. 3 in. height 5 in. length Surface Area of a Rectangular Prism- 4 in. width 2 wl + 2 lh +2 wh 2(4)(5) +2(5)(3) +2(4)(3) 40 + 30 + 24 94 in 2 7 G 4 , 7 M 11, 7 A 6 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Find the surface area of the rectangular prism. 13 ft. l 6 ft. w 4 ft. h Surface Area of a Rectangular Prism- 2 wl + 2 lh +2 wh 2(6)(13)+2(13)(4) +2(6)(4) 156 + 104 + 48 308 ft 2 7 G 4 , 7 M 11, 7 A 6 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Find the surface area of the rectangular prism. 7 cm. h 20 cm. l 6 cm. w 30 yd. 2 ft. h 2 ft. 15 ft. l w = 2 wl + 2 lh + 2 wh 2(6)(20) +2(20)(7) +2(6)(7) 2(2)(15) +2(15)(2) +2(2)(2) 240 + 280 601 cm 2 7 G 4 , 7 M 11, 7 A 6 + 84 60 + 60 128 ft 2 + 8 h 12 yd. l 9 yd. w = 2 wl + 2 lh + 2 wh 2(9)(12)+2(12)(30) +2(9)(30) 216 + 720 + 540 1, 476 cm 2 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? 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) 2 ft. 3 ft. 3 ft. How much wood does Rashid need to buy to build the box? 7 G 4 , 7 M 11, 7 A 6 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? What is the best estimation, in square centimeters, for the surface area of the rectangular prism shown below? (2008) A) 14 B) 20 C) 32 D) 48 7 G 4 , 7 M 11, 7 A 6 5. 4 cm 1. 9 cm 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Right Triangular Prism 2 cm 4 cm 5 cm 7 cm 3 cm 7 G 4 , 7 M 11, 7 A 6 Surface area of a Right Triangular Prism = wh + lw + lp + ls = 3(2) +7(3) +7(4)+7(5) = 6 + 21 + 28 + 35 = 90 cm 2 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Right Triangular Prism 6 ft 3 ft 8 ft 10 ft 4 ft 7 G 4 , 7 M 11, 7 A 6 Surface area of a Right Triangular Prism = wh + lw + lp + ls = 4(3) +10(4) +10(6) +10(8) = 12 + 40 = 192 ft 2 + 60 + 80 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Practice- Find the surface are of each right triangular prism. 1. 5 yd 4 yd 2. 8 mm 7 mm 6 mm yd 4 yd 7 G 4 , 7 M 11, 7 A 6 9 mm 5 mm 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Find the surface area of each 3 -dimensional object. 1. 2. 8 cm 2 mm. 5 cm 12 cm h l w 4 mm. Rectangular Prism 7 G 4 , 7 M 11, 7 A 6 10 cm 3 mm. 15 cm 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? C = 2πr Area = πr 2 2πr height Area = πr 2 Cylinder Net of a Cylinder Surface Area of a Cylinder Area of 2 circles + Area of the rectangle =2πr 2 + 2πrh 7 G 4 , 7 M 11, 7 A 6 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Practice- Find the surface area of the cylinder. Round your answer to the nearest tenth. 1) SA = 3 in 2 πr + 2πrh 2 7 in 7 G 4 , 7 M 11, 7 A 6 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Practice- Find the surface area of the cylinder. Round your answer 2 to the nearest tenth. SA = 2) 5 ft 3) 11 ft 7 G 4 , 7 M 11, 7 A 6 2 πr + 2πrh 14 mm 9 mm 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? 4) Chris must paint the cylindrical tank shown below. (2007) h = 5 ft 2 SA = 2 πr + 2πrh r = 2 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? 7 G 4 , 7 M 11, 7 A 6 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? 5) Joel draws a picture of his cylinder shown below. 7 cm (2006) 2 SA = 2 πr + 2πrh 15 cm Calculate the volume of Joel's cylinder. Round your answer to the nearest tenth. 7 G 4 , 7 M 11, 7 A 6 3 d Nets

Aim: How do we find the surface area of prisms and cylinders? Practice - Find the surface area of each 3 -dimensional object. 1. 2 ft 3. 7 cm 3 cm 7 cm 6 ft Cylinder 7 G 4 , 7 M 11, 7 A 6 8 cm 15 cm Triangular Prism 2 cm. 5 cm. 4 cm. Rectangular Prism 3 d Nets

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