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Published byJonathan Pugh Modified over 4 years ago

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Do Now 1) Find the area of a circle with a diameter of 10ft. Leave your answer in terms of π. [A= πr2] 2) Round to the nearest whole number. 3) How many faces are on a cube? What shape are the faces?

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**2wl + 2lh +2wh Surface Area- the sum of the areas of its faces**

Net- a 2-dimensional pattern that forms a solid when it is folded. Net of a Rectangular Prism width length height height length width Rectangular Prism 2 ( ) Area of the orange face: ______________________ width x length 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- 2wl + 2lh +2wh

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**2wl + 2lh +2wh Surface Area of a Rectangular Prism- 2(4)(5) +2(5)(3)**

Find the surface area of the rectangular prism. 5 in. 3 in. 4 in. height length width Surface Area of a Rectangular Prism- 2wl + 2lh +2wh 2(4)(5) +2(5)(3) +2(4)(3) 40 + 30 + 24 94 in2

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**2wl + 2lh +2wh Surface Area of a Rectangular Prism- 2(6)(13) +2(13)(4)**

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 +2wh 2(6)(13) +2(13)(4) +2(6)(4) 156 + 48 308 ft2

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**Find the surface area of the rectangular prism.**

12 yd. 30 yd. 9 yd. h l w 20 cm. 7 cm. 6 cm. h l w 15 ft. 2ft. 2 ft. h l w 2wl + 2lh + 2wh = 2wl + 2lh + 2wh = 2wl + 2lh + 2wh = 2(6)(20) +2(20)(7) +2(6)(7) 2(2)(15) +2(15)(2) +2(2)(2) 2(9)(12) +2(12)(30) +2(9)(30) 240 + 84 60 + 60 + 8 216 601 cm2 128 ft2 1,476 cm2

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**How much wood does Rashid need to buy to build the box?**

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) 2ft. 3ft. 3 ft. How much wood does Rashid need to buy to build the box?

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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 1.9 cm 5.4 cm

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**Right Triangular Prism = wh + lw + lp + ls**

Surface area of a Right Triangular Prism = wh + lw + lp + ls 4cm 2cm 5cm = 3(2) +7(3) +7(4) +7(5) 7cm = 6 + 21 + 28 + 35 3cm = 90 cm2

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**Right Triangular Prism = wh + lw + lp + ls**

Surface area of a Right Triangular Prism = wh + lw + lp + ls 6ft 3ft 8ft = 4(3) +10(4) +10(6) +10(8) 10ft = 12 + 40 + 60 + 80 4ft = 192 ft2

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**Practice- Find the surface are of each right triangular prism.**

4yd yd 5yd 6mm 8mm 9mm 5 mm 7mm 1. 2.

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**Find the surface area of each 3-dimensional object.**

1. 4mm. 2mm. 3mm. Rectangular Prism h l w 12cm 8cm 10cm 15cm 5cm 2.

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**2πr =2 h πr2 + Area = πr2 2πr Area = πr2 Area of 2 circles C = 2πr**

height height Area = πr2 Area = πr2 Cylinder Net of a Cylinder Surface Area of a Cylinder Area of 2 circles + Area of the rectangle 2πr =2 πr2 + h

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**Practice- Find the surface area of the cylinder**

Practice- Find the surface area of the cylinder. Round your answer to the nearest tenth. h + 2 πr2 2πr SA = 1) 7 in 3 in

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**Practice- Find the surface area of the cylinder**

Practice- Find the surface area of the cylinder. Round your answer to the nearest tenth. h + 2 πr2 2πr SA = 11 ft 5 ft 2) 3) 9 mm 14 mm

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**4) Chris must paint the cylindrical tank shown below. (2007)**

h = 5 ft h + 2 πr2 2πr SA = r = 2ft 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?

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**5) Joel draws a picture of his cylinder shown below. (2006)**

15 cm 7 cm h + 2 πr2 2πr SA = Calculate the volume of Joel's cylinder. Round your answer to the nearest tenth.

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**Practice - Find the surface area of each 3-dimensional object.**

2. 7cm 8cm 15cm 3cm 6ft 2 ft 1. Cylinder 3. 4cm. 2 cm. 5cm. Rectangular Prism Triangular Prism

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**Practice - Find the surface area of each 3-dimensional object.**

5. 9cm 3cm 2cm 1cm 6cm 5ft 4 ft 4. Cylinder 6. 5cm. 8 cm. 11cm. Rectangular Prism Triangular Cylinder

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Surface Area of 3-Dimensional Figures Ms. Stewart Math 8 Outcome: D7: Estimate and calculate volumes and surface areas of right prisms and cylinders COPY.

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